Multiple choice

A sum of Rs. 6458 is divided between Ankur and Saurabh such that the share of Ankur at the end of 7 years will be 4 times to the share of Saurabh after 5 years. Find the share of Saurabh if rate of compound interest is 8%.

  1. Rs. 1520

  2. Rs. 3256

  3. Rs. 1458

  4. Rs. 4250

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ankur's share be A and Saurabh's share be S. A + S = 6458. After compound growth at 8%, Ankur's amount after 7 years equals 4 times Saurabh's amount after 5 years: A(1.08)^7 = 4S(1.08)^5. Simplifying: A(1.08)^2 = 4S, so A(1.1664) = 4S, giving S = 0.2916A. Substituting: 1.2916A = 6458, so A = 5000 and S = 1458.

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