Multiple choice

If Rs. 3903 divided between Amar and Akbar such that Amar’s share at the end of 7 years is equal to Akbar’s share at the end of 9 years at 4% p.a. rate of compound interest. What is the share of Amar?

  1. 2028

  2. 1875

  3. 2008

  4. 2902

  5. 2600
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A Correct answer
Explanation

Let Amar's share = a, Akbar's share = 3903 - a. After compound interest: a(1.04)^7 = (3903 - a)(1.04)^9. Solving: a = (3903 - a)(1.04)^2, a = 3903 × 1.0816 / 2.0816, a = 2028.

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