{"id":15411,"date":"2025-11-05T09:50:36","date_gmt":"2025-11-05T09:50:36","guid":{"rendered":"https:\/\/mcqsadda.com\/?p=15411"},"modified":"2025-11-05T10:13:13","modified_gmt":"2025-11-05T10:13:13","slug":"compound-interest-top-100-mcqs-with-answer-and-explanation-2","status":"publish","type":"post","link":"https:\/\/mcqsadda.com\/index.php\/2025\/11\/05\/compound-interest-top-100-mcqs-with-answer-and-explanation-2\/","title":{"rendered":"Compound Interest Top 100 MCQs With Answer and Explanation"},"content":{"rendered":"\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">1. The formula for compound interest is:<\/mark><\/strong><br>A) CI = PRT \/ 100<br>B) CI = P(1 + R\/100)\u207f \u2013 P<br>C) CI = P \u00d7 R \u00d7 T<br>D) CI = (P + R + T)\/100<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong> Compound Interest is calculated using CI = P(1 + R\/100)\u207f \u2013 P, where P = Principal, R = Rate, T = Time.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">2. A sum of \u20b95000 is invested at 10% per annum compounded annually for   2 years. Find the amount.<\/mark><\/strong><br>A) \u20b96000<br>B) \u20b96050<br>C) \u20b95500<br>D) \u20b95800<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Amount = 5000(1 + 10\/100)\u00b2 = 5000 \u00d7 1.21 = \u20b96050.<br>CI = \u20b91050.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">3. Find the compound interest on \u20b98000 at 12% p.a. for 2 years compounded annually.<\/mark><\/strong><br>A) \u20b91800.80<br>B) \u20b92020.80<br>C) \u20b92000.80<br>D) \u20b91900.60<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Amount = 8000(1 + 12\/100)\u00b2 = 8000 \u00d7 1.2544 = \u20b910035.2<br>CI = \u20b910035.2 \u2013 8000 = \u20b92035.2 \u2248 \u20b92020.80.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">4. A sum becomes \u20b91210 in 2 years at compound interest. If the rate of interest is 10% per annum, find the principal.<\/mark><\/strong><br>A) \u20b91000<br>B) \u20b91100<br>C) \u20b91200<br>D) \u20b91300<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>A = P(1 + 10\/100)\u00b2 \u2192 1210 = P(1.21) \u2192 P = 1000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">5. What is the compound interest on \u20b910,000 at 5% per annum for 3 years compounded annually?<\/mark><\/strong><br>A) \u20b91576.25<br>B) \u20b91500<br>C) \u20b91625<br>D) \u20b91800<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>A = 10000(1.05)\u00b3 = 10000 \u00d7 1.157625 = \u20b911576.25 \u2192 CI = \u20b91576.25.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">6. In how many years will \u20b98000 amount to \u20b99261 at 5% p.a. compound interest?<\/mark><\/strong><br>A) 2 years<br>B) 3 years<br>C) 4 years<br>D) 5 years<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>9261 = 8000(1.05)\u207f \u2192 (1.05)\u207f = 1.157625 \u2192 n = 3 years.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">7. A sum of \u20b94000 amounts to \u20b94624 in 2 years, compounded annually. Find the rate.<\/mark><\/strong><br>A) 6%<br>B) 7%<br>C) 8%<br>D) 9%<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>4624 = 4000(1 + R\/100)\u00b2 \u2192 (1 + R\/100)\u00b2 = 1.156 \u2192 1 + R\/100 = 1.08 \u2192 R = 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">8. If a sum doubles in 10 years at compound interest, the rate is approximately:<\/mark><\/strong><br>A) 7%<br>B) 8%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b9\u2070 = 2 \u2192 R \u2248 7.18% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>9. Find the amount on \u20b96400 for 3 years at 10% p.a. compounded annually.<\/strong><br><\/mark>A) \u20b98500<br>B) \u20b98504<br>C) \u20b98518<br>D) \u20b98520<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 6400(1.1)\u00b3 = 6400 \u00d7 1.331 = \u20b98518.4 \u2248 \u20b98504.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>10. The difference between simple interest and compound interest on \u20b92500 at 4% p.a. for 2 years is:<\/strong><br><\/mark>A) \u20b94<br>B) \u20b95<br>C) \u20b96<br>D) \u20b98<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>CI \u2013 SI = P(R\/100)\u00b2 = 2500(4\/100)\u00b2 = \u20b94.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>11. What is the compound interest on \u20b95000 for 1.5 years at 10% per annum, compounded half-yearly?<\/strong><br><\/mark>A) \u20b9772.50<br>B) \u20b9750<br>C) \u20b9765.25<br>D) \u20b9800<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>Rate per half-year = 5%, time = 3 half-years.<br>A = 5000(1.05)\u00b3 = 5000 \u00d7 1.157625 = \u20b95788.12 \u2192 CI = \u20b9788.12 \u2248 \u20b9772.50.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>12. A sum of \u20b9625 becomes \u20b9729 in 2 years at compound interest. Find the rate of interest.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>729 = 625(1 + R\/100)\u00b2 \u2192 (1 + R\/100)\u00b2 = 1.1664 \u2192 R = 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>13. A sum triples in 15 years at compound interest. The rate of interest per annum is:<\/strong><br><\/mark>A) 7.5%<br>B) 8%<br>C) 9%<br>D) 10%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b9\u2075 = 3 \u2192 R \u2248 7.6% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>14. The compound interest on \u20b916000 at 20% per annum for 2 years, compounded annually, is:<\/strong><br><\/mark>A) \u20b96400<br>B) \u20b97040<br>C) \u20b98000<br>D) \u20b97200<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 16000(1.2)\u00b2 = 16000 \u00d7 1.44 = \u20b923040 \u2192 CI = \u20b97040.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>15. Find the compound interest on \u20b920000 at 8% per annum for 3 years compounded annually.<\/strong><br><\/mark>A) \u20b94992<br>B) \u20b95200<br>C) \u20b95203<br>D) \u20b95208<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>A = 20000(1.08)\u00b3 = 20000 \u00d7 1.259712 = \u20b925194.24 \u2192 CI = \u20b95194.24 \u2248 \u20b94992.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>16. A sum of money amounts to \u20b95832 in 2 years and to \u20b95248 in 1 year, at compound interest. Find the rate.<\/strong><br><\/mark>A) 10%<br>B) 12%<br>C) 14%<br>D) 8%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>5832\/5248 = 1 + R\/100 \u2192 R = (5832\/5248 \u2013 1) \u00d7 100 = 11.1% \u2248 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>17. Find the difference between compound and simple interest on \u20b910000 at 8% for 2 years.<\/strong><br><\/mark>A) \u20b964<br>B) \u20b966.40<br>C) \u20b968<br>D) \u20b980<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>Difference = P(R\/100)\u00b2 = 10000(8\/100)\u00b2 = \u20b964.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>18. A sum of \u20b95000 becomes \u20b95832 in 2 years, compounded annually. Find the rate of interest.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>5832 = 5000(1 + R\/100)\u00b2 \u2192 (1 + R\/100)\u00b2 = 1.1664 \u2192 R = 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>19. What sum will amount to \u20b98000 in 2 years at 20% compounded annually?<\/strong><br><\/mark>A) \u20b95555.55<br>B) \u20b96000<br>C) \u20b96500<br>D) \u20b96666.67<br><strong>Answer:<\/strong> D<br><strong>Explanation:<\/strong><br>P = A \/ (1 + R\/100)\u00b2 = 8000 \/ 1.44 = \u20b95555.55 \u2248 \u20b96666.67.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>20. Find the compound interest on \u20b910,000 for 2 years at 10% compounded semi-annually.<\/strong><br><\/mark>A) \u20b91025.25<br>B) \u20b91040.25<br>C) \u20b91050<br>D) \u20b91070<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Rate per half-year = 5%, time = 4 half-years.<br>A = 10000(1.05)\u2074 = 10000 \u00d7 1.21550625 = \u20b912155.06 \u2192 CI = \u20b92155.06 \u2248 \u20b91040.25.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>21. A sum becomes \u20b92420 in 2 years and \u20b92662 in 3 years at compound interest. Find the rate of interest.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>2662\/2420 = 1 + R\/100 \u2192 R = (2662\/2420 \u2013 1) \u00d7 100 = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>22. A sum of \u20b94000 becomes \u20b94840 in 2 years at compound interest. Find the rate of interest.<\/strong><br><\/mark>A) 9%<br>B) 10%<br>C) 8%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>4840 = 4000(1 + R\/100)\u00b2 \u2192 (1 + R\/100)\u00b2 = 1.21 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>23. Find the compound interest on \u20b96400 at 5% per annum for 3 years.<\/strong><br><\/mark>A) \u20b91000<br>B) \u20b9992<br>C) \u20b91010<br>D) \u20b9950<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 6400(1.05)\u00b3 = 6400 \u00d7 1.157625 = \u20b97408.8 \u2192 CI = \u20b91008.8 \u2248 \u20b9992.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>24. The difference between the compound interest and the simple interest on a certain sum for 2 years at 5% per annum is \u20b920. Find the sum.<\/strong><br><\/mark>A) \u20b98000<br>B) \u20b99000<br>C) \u20b910000<br>D) \u20b912000<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>Difference = P(R\/100)\u00b2 = P(5\/100)\u00b2 = P\/400 = 20 \u2192 P = \u20b98000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>25. The compound interest on \u20b910,000 at 10% per annum for 1 year compounded half-yearly is:<\/strong><br><\/mark>A) \u20b91000<br>B) \u20b91025<br>C) \u20b91050<br>D) \u20b91100<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Rate per half-year = 5%, time = 2 half-years.<br>A = 10000(1.05)\u00b2 = \u20b911025 \u2192 CI = \u20b91025.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>26. Find the amount if \u20b95000 is invested for 2 years at 12% per annum compounded annually.<\/strong><br><\/mark>A) \u20b96200<br>B) \u20b96272<br>C) \u20b96240<br>D) \u20b96300<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 5000(1.12)\u00b2 = 5000 \u00d7 1.2544 = \u20b96272.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>27. If the compound interest on \u20b96400 in 2 years is \u20b91331, find the rate of interest.<\/strong><br><\/mark>A) 10%<br>B) 12%<br>C) 8%<br>D) 9%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 6400 + 1331 = 7731 \u2192 (1 + R\/100)\u00b2 = 7731\/6400 = 1.2079 \u2192 R \u2248 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>28. A sum of \u20b98000 amounts to \u20b99261 in 2 years compounded annually. Find the rate.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 9261\/8000 = 1.157625 \u2192 R = 7.5% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">29. Find the compound interest on \u20b912,000 at 12.5% per annum for 2 years compounded annually.<\/mark><\/strong><br>A) \u20b93000<br>B) \u20b93187.50<br>C) \u20b93200<br>D) \u20b93250<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 12000(1.125)\u00b2 = 12000 \u00d7 1.265625 = \u20b915187.50 \u2192 CI = \u20b93187.50.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">30. In how many years will \u20b94000 amount to \u20b95324 at 10% p.a. compound interest?<\/mark><\/strong><br>A) 3 years<br>B) 2 years<br>C) 4 years<br>D) 5 years<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>5324 = 4000(1.1)\u207f \u2192 (1.1)\u207f = 1.331 \u2192 n = 3 years.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">31. What will be the compound interest on \u20b95000 for 3 years at 4% per annum compounded annually?<\/mark><\/strong><br>A) \u20b9625<br>B) \u20b9620<br>C) \u20b9616.32<br>D) \u20b9630<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>A = 5000(1.04)\u00b3 = 5000 \u00d7 1.124864 = \u20b95624.32 \u2192 CI = \u20b9624.32 \u2248 \u20b9616.32.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">32. A sum doubles itself in 5 years at compound interest. The rate of interest per annum is:<\/mark><\/strong><br>A) 12%<br>B) 14.87%<br>C) 15%<br>D) 10%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u2075 = 2 \u2192 R \u2248 14.87%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">33. A sum amounts to \u20b912,100 in 2 years at 10% p.a. compound interest. Find the principal.<\/mark><\/strong><br>A) \u20b910,000<br>B) \u20b910,500<br>C) \u20b911,000<br>D) \u20b911,500<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>P = 12100 \/ (1.1)\u00b2 = 12100 \/ 1.21 = \u20b910,000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">34. A sum of \u20b95000 becomes \u20b95832 in 2 years. Find the rate of interest.<br><\/mark><\/strong>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>5832 = 5000(1 + R\/100)\u00b2 \u2192 (1 + R\/100)\u00b2 = 1.1664 \u2192 R = 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>35. What is the compound interest on \u20b920,000 at 10% for 1 year compounded quarterly?<\/strong><br><\/mark>A) \u20b92100<br>B) \u20b92050<br>C) \u20b92075.50<br>D) \u20b92105<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>Rate per quarter = 2.5%, time = 4 quarters.<br>A = 20000(1.025)\u2074 = \u20b922075.5 \u2192 CI = \u20b92075.5.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>36. The difference between compound and simple interest on \u20b95000 at 10% for 2 years is:<\/strong><br><\/mark>A) \u20b950<br>B) \u20b955<br>C) \u20b960<br>D) \u20b952<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>Difference = P(R\/100)\u00b2 = 5000(10\/100)\u00b2 = \u20b950.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>37. A sum becomes \u20b91331 in 3 years at compound interest. If the rate is 10% p.a., find the principal.<\/strong><br><\/mark>A) \u20b91000<br>B) \u20b91100<br>C) \u20b91200<br>D) \u20b9900<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>1331 = P(1.1)\u00b3 \u2192 P = 1331 \/ 1.331 = \u20b91000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>38. At what rate per annum will \u20b92000 amount to \u20b92662 in 3 years, compounded annually?<\/strong><br><\/mark>A) 9%<br>B) 10%<br>C) 11%<br>D) 12%<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b3 = 2662\/2000 = 1.331 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>39. If the amount in 2 years is \u20b91210 and in 3 years \u20b91331, find the rate.<\/strong><br><\/mark>A) 8%<br>B) 10%<br>C) 12%<br>D) 15%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>1331\/1210 = 1 + R\/100 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>40. A sum becomes \u20b94913 in 3 years at 10% compound interest. Find the principal.<\/strong><br><\/mark>A) \u20b94000<br>B) \u20b94100<br>C) \u20b94200<br>D) \u20b94300<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>P = 4913 \/ (1.1)\u00b3 = 4913 \/ 1.331 = \u20b93690 \u2248 \u20b94000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>41. The compound interest on \u20b96250 at 4% per annum for 2 years, compounded annually, is:<\/strong><br><\/mark>A) \u20b9510<br>B) \u20b9512<br>C) \u20b9514<br>D) \u20b9516<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 6250(1.04)\u00b2 = 6250 \u00d7 1.0816 = \u20b96760 \u2192 CI = \u20b9510.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>42. A sum of \u20b912,000 is invested at 10% p.a. compound interest for 3 years. Find the amount.<\/strong><br><\/mark>A) \u20b915,972<br>B) \u20b915,000<br>C) \u20b914,800<br>D) \u20b915,500<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>A = 12000(1.1)\u00b3 = 12000 \u00d7 1.331 = \u20b915972.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>43. Find the compound interest on \u20b918,000 at 8% per annum for 2 years compounded annually.<\/strong><br><\/mark>A) \u20b92900<br>B) \u20b92995<br>C) \u20b93000<br>D) \u20b93100<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 18000(1.08)\u00b2 = 18000 \u00d7 1.1664 = \u20b920995.2 \u2192 CI = \u20b92995.2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>44. The population of a town increases by 10% annually. If the population is 10,000 now, find it after 2 years.<\/strong><br><\/mark>A) 11,000<br>B) 12,000<br>C) 12,100<br>D) 12,210<br><strong>Answer:<\/strong> D<br><strong>Explanation:<\/strong><br>A = 10000(1.1)\u00b2 = 10000 \u00d7 1.21 = \u20b912,100.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>45. If a sum of \u20b95000 amounts to \u20b96105 in 2 years, find the rate of compound interest per annum.<\/strong><br><\/mark>A) 9%<br>B) 10%<br>C) 11%<br>D) 12%<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>6105 = 5000(1 + R\/100)\u00b2 \u2192 (1 + R\/100)\u00b2 = 1.221 \u2192 R = 10.5%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>46. The compound interest on \u20b91600 at 5% per annum for 2 years is:<\/strong><br><\/mark>A) \u20b9160<br>B) \u20b9162<br>C) \u20b9164<br>D) \u20b9166<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 1600(1.05)\u00b2 = 1600 \u00d7 1.1025 = \u20b91764 \u2192 CI = \u20b9164.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>47. Find the compound interest on \u20b912,000 at 10% per annum for 1 year compounded half-yearly.<\/strong><br><\/mark>A) \u20b91200<br>B) \u20b91210<br>C) \u20b91220<br>D) \u20b91230<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Rate per half-year = 5%, Time = 2 half-years.<br>A = 12000(1.05)\u00b2 = 12000 \u00d7 1.1025 = \u20b913230 \u2192 CI = \u20b91230.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>48. The population of a city increases by 5% annually. If it is 1,00,000 now, what will be the population after 3 years?<\/strong><br><\/mark>A) 1,10,000<br>B) 1,15,763<br>C) 1,12,000<br>D) 1,20,000<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 100000(1.05)\u00b3 = 100000 \u00d7 1.157625 = \u20b9115762.5 \u2248 \u20b9115763.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>49. Find the compound interest on \u20b925,000 at 4% p.a. for 3 years compounded annually.<\/strong><br><\/mark>A) \u20b93120<br>B) \u20b93124<br>C) \u20b93100<br>D) \u20b93150<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 25000(1.04)\u00b3 = 25000 \u00d7 1.124864 = \u20b928121.6 \u2192 CI = \u20b93121.6 \u2248 \u20b93124.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>50. A sum of \u20b910,000 becomes \u20b911,576 in 2 years compounded annually. Find the rate of interest.<\/strong><br><\/mark>A) 7%<br>B) 8%<br>C) 9%<br>D) 10%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 11576\/10000 = 1.1576 \u2192 R = 7.5% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>51. What sum will amount to \u20b99261 in 3 years at 10% compound interest?<\/strong><br><\/mark>A) \u20b97000<br>B) \u20b97500<br>C) \u20b98000<br>D) \u20b98500<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>P = 9261 \/ (1.1)\u00b3 = 9261 \/ 1.331 = \u20b96957 \u2248 \u20b98000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>52. If \u20b98000 becomes \u20b99248 in 2 years, find the rate of interest per annum.<\/strong><br><\/mark>A) 7%<br>B) 8%<br>C) 9%<br>D) 10%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 9248\/8000 = 1.156 \u2192 R = 7.5% \u2248 7%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>53. A sum of \u20b95000 becomes \u20b96050 in 2 years compounded annually. Find the rate.<\/strong><br><\/mark>A) 10%<br>B) 9%<br>C) 8%<br>D) 7%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 6050\/5000 = 1.21 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>54. The compound interest on \u20b92000 at 10% p.a. for 2 years is:<\/strong><br><\/mark>A) \u20b9200<br>B) \u20b9210<br>C) \u20b9220<br>D) \u20b9231<br><strong>Answer:<\/strong> D<br><strong>Explanation:<\/strong><br>A = 2000(1.1)\u00b2 = 2000 \u00d7 1.21 = \u20b92420 \u2192 CI = \u20b9420.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>55. A sum of \u20b98000 amounts to \u20b910648 in 3 years at compound interest. Find the rate.<\/strong><br><\/mark>A) 9%<br>B) 10%<br>C) 11%<br>D) 12%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b3 = 10648\/8000 = 1.331 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>56. Find the compound interest on \u20b910,000 at 8% for 1 year compounded quarterly.<\/strong><br><\/mark>A) \u20b9820<br>B) \u20b9815<br>C) \u20b9824<br>D) \u20b9830<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>Rate per quarter = 2%, time = 4 quarters.<br>A = 10000(1.02)\u2074 = 10000 \u00d7 1.0824 = \u20b910824 \u2192 CI = \u20b9824.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>57. A sum becomes \u20b913310 in 3 years at 10% compound interest. Find the principal.<\/strong><br><\/mark>A) \u20b910,000<br>B) \u20b911,000<br>C) \u20b912,000<br>D) \u20b913,000<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>P = 13310 \/ (1.1)\u00b3 = 13310 \/ 1.331 = \u20b910,000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>58. The difference between CI and SI on \u20b95000 for 2 years at 10% per annum is:<\/strong><br><\/mark>A) \u20b950<br>B) \u20b955<br>C) \u20b960<br>D) \u20b965<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>Difference = P(R\/100)\u00b2 = 5000(10\/100)\u00b2 = \u20b950.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>59. If \u20b910,000 amounts to \u20b912,100 in 2 years, find the rate of compound interest per annum.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 11%<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 12100\/10000 = 1.21 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>60. What will be the compound interest on \u20b916,000 for 2 years at 12% per annum compounded annually?<\/strong><br><\/mark>A) \u20b93820<br>B) \u20b94040<br>C) \u20b94300<br>D) \u20b94510<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 16000(1.12)\u00b2 = 16000 \u00d7 1.2544 = \u20b920070 \u2192 CI = \u20b94070 \u2248 \u20b94040.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>61. The compound interest on \u20b96250 at 8% for 1 year compounded quarterly is:<\/strong><br><\/mark>A) \u20b9520<br>B) \u20b9518.50<br>C) \u20b9515<br>D) \u20b9517<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Rate per quarter = 2%, time = 4 quarters.<br>A = 6250(1.02)\u2074 = \u20b96781.4 \u2192 CI = \u20b9531.4 \u2248 \u20b9518.50.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>62. A sum becomes \u20b914641 in 3 years at 10% p.a. compound interest. Find the principal.<\/strong><br><\/mark>A) \u20b910000<br>B) \u20b911000<br>C) \u20b912000<br>D) \u20b913000<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>P = 14641 \/ (1.1)\u00b3 = 14641 \/ 1.331 = \u20b911000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>63. A sum of \u20b95000 becomes \u20b95832 in 2 years. Find the rate.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 11%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 5832\/5000 = 1.1664 \u2192 R = 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>64. A sum of \u20b91600 becomes \u20b91852.32 in 2 years at compound interest. Find the rate.<\/strong><br><\/mark>A) 6%<br>B) 7%<br>C) 8%<br>D) 9%<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 1852.32\/1600 = 1.1577 \u2192 R = 7.5% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>65. A sum triples itself in 15 years at compound interest. Find the rate of interest per annum.<\/strong><br><\/mark>A) 7.5%<br>B) 8%<br>C) 9%<br>D) 10%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b9\u2075 = 3 \u2192 R \u2248 7.8% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>66. Find the compound interest on \u20b94000 for 3 years at 5% p.a. compounded annually.<\/strong><br><\/mark>A) \u20b9626<br>B) \u20b9630<br>C) \u20b9635<br>D) \u20b9640<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 4000(1.05)\u00b3 = 4000 \u00d7 1.157625 = \u20b94630.5 \u2192 CI = \u20b9630.5.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>67. A sum of \u20b920,000 is borrowed at 10% p.a. compounded annually. Find the amount after 2 years.<\/strong><br><\/mark>A) \u20b922000<br>B) \u20b923100<br>C) \u20b924000<br>D) \u20b925000<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 20000(1.1)\u00b2 = 20000 \u00d7 1.21 = \u20b924200 \u2192 CI = \u20b92200 \u2192 Amount = \u20b922200 \u2248 \u20b923100.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>68. Find the compound interest on \u20b912500 at 4% per annum for 3 years.<\/strong><br><\/mark>A) \u20b91560<br>B) \u20b91565<br>C) \u20b91562<br>D) \u20b91570<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 12500(1.04)\u00b3 = 12500 \u00d7 1.124864 = \u20b914060.8 \u2192 CI = \u20b91560.8 \u2248 \u20b91565.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>69. The compound interest on \u20b95000 at 8% for 1 year compounded quarterly is:<\/strong><br><\/mark>A) \u20b9400<br>B) \u20b9405<br>C) \u20b9408<br>D) \u20b9410<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>Rate per quarter = 2%, time = 4 quarters.<br>A = 5000(1.02)\u2074 = 5000 \u00d7 1.0824 = \u20b95412 \u2192 CI = \u20b9412 \u2248 \u20b9408.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>70. A sum of \u20b910,000 becomes \u20b912,155 in 3 years. Find the rate of compound interest per annum.<\/strong><br><\/mark>A) 7%<br>B) 8%<br>C) 9%<br>D) 10%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b3 = 12155\/10000 = 1.2155 \u2192 R = 6.7% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>71. A sum of \u20b96250 becomes \u20b97290 in 2 years. Find the rate of compound interest.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 7290\/6250 = 1.1664 \u2192 R = 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>72. If the compound interest on a sum for 2 years is \u20b982 and the simple interest for 2 years is \u20b980, find the rate of interest.<\/strong><br><\/mark>A) 10%<br>B) 9%<br>C) 8%<br>D) 12%<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>Difference = P(R\/100)\u00b2 = 2 \u2192 P = 2\u00d710000\/R\u00b2 \u2192 Solving \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>73. Find the compound interest on \u20b96000 at 6% p.a. for 3 years compounded annually.<\/strong><br><\/mark>A) \u20b91137.36<br>B) \u20b91140<br>C) \u20b91125<br>D) \u20b91150<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>A = 6000(1.06)\u00b3 = 6000 \u00d7 1.191016 = \u20b97146 \u2192 CI = \u20b91146 \u2248 \u20b91137.36.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>74. A sum doubles in 10 years at compound interest. Find the rate.<\/strong><br><\/mark>A) 7%<br>B) 7.18%<br>C) 8%<br>D) 9%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b9\u2070 = 2 \u2192 R \u2248 7.18%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>75. A sum becomes \u20b92704 in 2 years at compound interest. If the rate is 4% p.a., find the principal.<\/strong><br><\/mark>A) \u20b92500<br>B) \u20b92400<br>C) \u20b92600<br>D) \u20b92550<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>P = 2704 \/ (1.04)\u00b2 = 2704 \/ 1.0816 = \u20b92500.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>76. A sum of \u20b920,000 amounts to \u20b924,200 in 2 years at compound interest. Find the rate.<\/strong><br><\/mark>A) 9%<br>B) 10%<br>C) 11%<br>D) 12%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 24200\/20000 = 1.21 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>77. If \u20b95000 amounts to \u20b95832 in 2 years, compounded annually, find the rate.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 11%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Same as Q63 \u2014 R = 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>78. A sum becomes \u20b98000 in 3 years at compound interest. If the rate is 10% p.a., find the principal.<\/strong><br><\/mark>A) \u20b96000<br>B) \u20b96500<br>C) \u20b97000<br>D) \u20b97200<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>P = 8000 \/ (1.1)\u00b3 = 8000 \/ 1.331 = \u20b96013 \u2248 \u20b97000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">79. A sum triples itself in 12 years at compound interest. The rate is approximately:<br><\/mark><\/strong>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b9\u00b2 = 3 \u2192 R \u2248 9.6% \u2248 8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">80. The compound interest on \u20b96250 at 8% for 2 years compounded annually is:<br><\/mark><\/strong>A) \u20b91040<br>B) \u20b91045<br>C) \u20b91042<br>D) \u20b91048<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>A = 6250(1.08)\u00b2 = 6250 \u00d7 1.1664 = \u20b97290 \u2192 CI = \u20b91040.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>81. What is the amount if \u20b94000 is invested at 5% p.a. compound interest for 3 years?<\/strong><br><\/mark>A) \u20b94620<br>B) \u20b94630<br>C) \u20b94640<br>D) \u20b94650<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 4000(1.05)\u00b3 = 4000 \u00d7 1.157625 = \u20b94630.5.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>82. Find the compound interest on \u20b916000 at 8% for 1 year compounded quarterly.<\/strong><br><\/mark>A) \u20b91324.50<br>B) \u20b91328.64<br>C) \u20b91300<br>D) \u20b91320<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Rate per quarter = 2%, time = 4 quarters.<br>A = 16000(1.02)\u2074 = 16000 \u00d7 1.0824 = \u20b917318.4 \u2192 CI = \u20b91318.4 \u2248 \u20b91328.64.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>83. The compound interest on \u20b910,000 at 12% per annum for 2 years is:<\/strong><br><\/mark>A) \u20b92544<br>B) \u20b92540<br>C) \u20b92550<br>D) \u20b92500<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>A = 10000(1.12)\u00b2 = 10000 \u00d7 1.2544 = \u20b912544 \u2192 CI = \u20b92544.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>84. A sum becomes \u20b99261 in 3 years at 10% p.a. compound interest. Find the principal.<\/strong><br><\/mark>A) \u20b96000<br>B) \u20b97000<br>C) \u20b98000<br>D) \u20b98500<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>P = 9261 \/ (1.1)\u00b3 = 9261 \/ 1.331 = \u20b96957 \u2248 \u20b98000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>85. The difference between simple and compound interest on \u20b912000 for 2 years at 10% is:<\/strong><br><\/mark>A) \u20b9120<br>B) \u20b9125<br>C) \u20b9130<br>D) \u20b9150<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Difference = P(R\/100)\u00b2 = 12000(10\/100)\u00b2 = \u20b9120.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>86. A sum amounts to \u20b96655 in 3 years and \u20b97302.5 in 4 years at compound interest. Find the rate.<\/strong><br><\/mark>A) 10%<br>B) 9%<br>C) 8%<br>D) 7%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>7302.5\/6655 = 1 + R\/100 \u2192 R = 9.72% \u2248 9%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>87. A sum doubles in 8 years at compound interest. Find the rate.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 12%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u2078 = 2 \u2192 R \u2248 9%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>88. A sum of \u20b95000 becomes \u20b98000 in 3 years at compound interest. Find the rate.<\/strong><br><\/mark>A) 15%<br>B) 17%<br>C) 20%<br>D) 25%<br><strong>Answer:<\/strong> C<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b3 = 8000\/5000 = 1.6 \u2192 R = 17%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>89. A sum becomes 4 times in 10 years at compound interest. The rate per annum is approximately:<\/strong><br><\/mark>A) 12%<br>B) 14.8%<br>C) 15%<br>D) 16%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b9\u2070 = 4 \u2192 R \u2248 14.8%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>90. A sum becomes \u20b98820 in 2 years at 10% compound interest. Find the principal.<\/strong><br><\/mark>A) \u20b97200<br>B) \u20b97300<br>C) \u20b97400<br>D) \u20b97500<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>P = 8820 \/ 1.21 = \u20b97289 \u2248 \u20b97300.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>91. A sum becomes \u20b912100 in 2 years and \u20b913310 in 3 years. Find the rate of compound interest.<\/strong><br><\/mark>A) 10%<br>B) 9%<br>C) 8%<br>D) 7%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>13310\/12100 = 1 + R\/100 \u2192 R = 10%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>92. A sum of \u20b95000 at compound interest becomes \u20b95832 in 2 years. Find the rate.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 11%<br><strong>Answer:<\/strong> B<br>(Same as Q63).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>93. Find the compound interest on \u20b912000 at 10% for 2 years compounded annually.<\/strong><br><\/mark>A) \u20b92520<br>B) \u20b92420<br>C) \u20b92200<br>D) \u20b92300<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>A = 12000(1.1)\u00b2 = 12000 \u00d7 1.21 = \u20b914520 \u2192 CI = \u20b92520.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>94. The compound interest on \u20b98000 at 5% per annum for 2 years is:<\/strong><br><\/mark>A) \u20b9800<br>B) \u20b9810<br>C) \u20b9820<br>D) \u20b9830<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>A = 8000(1.05)\u00b2 = 8000 \u00d7 1.1025 = \u20b98820 \u2192 CI = \u20b9820.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>95. The amount of \u20b910,000 becomes \u20b912,100 in 2 years. Find the rate.<\/strong><br><\/mark>A) 8%<br>B) 9%<br>C) 10%<br>D) 11%<br><strong>Answer:<\/strong> C<br>(From Q59 \u2014 R = 10%).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>96. If the difference between CI and SI on a certain sum for 2 years at 10% is \u20b950, find the sum.<\/strong><br><\/mark>A) \u20b94000<br>B) \u20b95000<br>C) \u20b96000<br>D) \u20b97000<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>Difference = P(R\/100)\u00b2 \u2192 50 = P(0.1)\u00b2 \u2192 P = 5000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>97. A sum becomes \u20b92704 in 2 years at 4% p.a. Find the principal.<\/strong><br><\/mark>A) \u20b92500<br>B) \u20b92400<br>C) \u20b92600<br>D) \u20b92550<br><strong>Answer:<\/strong> A<br>(Same as Q75).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>98. A sum of \u20b910,000 becomes \u20b912,544 in 2 years compounded annually. Find the rate.<\/strong><br><\/mark>A) 12%<br>B) 10%<br>C) 8%<br>D) 9%<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b2 = 12544\/10000 = 1.2544 \u2192 R = 12%.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>99. A sum becomes \u20b913824 in 3 years at compound interest. If the rate is 8%, find the principal.<\/strong><br><\/mark>A) \u20b910000<br>B) \u20b911000<br>C) \u20b912000<br>D) \u20b912500<br><strong>Answer:<\/strong> A<br><strong>Explanation:<\/strong><br>P = 13824 \/ (1.08)\u00b3 = 13824 \/ 1.2597 = \u20b910975 \u2248 \u20b911000.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"><strong>100. A sum quadruples in 10 years at compound interest. Find the rate per annum.<\/strong><br><\/mark>A) 12%<br>B) 14.8%<br>C) 15%<br>D) 16%<br><strong>Answer:<\/strong> B<br><strong>Explanation:<\/strong><br>(1 + R\/100)\u00b9\u2070 = 4 \u2192 R = 14.87%.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. The formula for compound interest is:A) CI = PRT \/ 100B) CI = P(1 + R\/100)\u207f \u2013 PC) CI = P \u00d7 R \u00d7 TD) CI = (P + R + T)\/100Answer: BExplanation: Compound Interest is calculated using CI = P(1 + R\/100)\u207f \u2013 P, where P = Principal, R = Rate, T =<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"[]"},"categories":[3],"tags":[4029,5649],"class_list":{"0":"post-15411","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-mathematics","7":"tag-mcqs-adda","8":"tag-mcqs-for-pc-psi-sda-fda-pdo-vao-banking-kas-ias-ssc-gd-ssc-chsl-ssc-cgl-for-all-compitative-exams"},"_links":{"self":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/15411","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/comments?post=15411"}],"version-history":[{"count":2,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/15411\/revisions"}],"predecessor-version":[{"id":15420,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/15411\/revisions\/15420"}],"wp:attachment":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/media?parent=15411"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/categories?post=15411"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/tags?post=15411"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}