Multiple choice

A sum of money amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years at compound interest. The sum is. एक धनराशि चक्रवृद्धि ब्याज की दर से 2 वर्ष मे 4624 रूपये और 3 वर्ष में 4913 रूपये हो जाती है। धनराशि है |

  1. Rs. 4096

  2. Rs. 4260

  3. Rs. 4325

  4. Rs. 4360
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A Correct answer
Explanation

The sum of Rs. 4096 is correct. At compound interest, if Amount after 3 years is 4913 and after 2 years is 4624, then the interest earned in the 3rd year is 4913 - 4624 = 289. The interest rate r satisfies: 4624 × r = 289, so r = 289/4624 = 1/16 = 6.25%. Working backwards: P(1 + r)^2 = 4624, so P = 4624/(17/16)^2 = 4624 × 256/289 = 4096. Option B, C, and D don't satisfy this condition.

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