Multiple choice

The simple interest accrued on a sum of certain principal is Rs. 2000 in 5 years at the rate of 4 p.c.p.a. What would be the compound interest accrued on same principal at the same rate in two years? एक निश्चित मूलधन पर 4 प्रतिशत वार्षिक ब्याज की दर से 5 वर्ष में अर्जित साधारण ब्याज 2000 रुपये है। दो वर्ष में समान मूलधन पर समान दर पर उपजित चक्रवृद्धि ब्याज क्या होगा?

  1. Rs./रुपये 725

  2. Rs./रुपये 816

  3. Rs./रुपये 600

  4. Rs./रुपये 520
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B Correct answer
Explanation

From SI = P×R×T/100, we get 2000 = P×4×5/100, so P = 10000. For CI in 2 years at 4%, use formula CI = P[(1 + R/100)^2 - 1] = 10000[(1.04)^2 - 1] = 10000[1.0816 - 1] = 816. The key is finding principal from SI first, then applying CI formula.

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