Multiple choice

The compound interest on a sum for 2 years is Rs.832 and the simple interest on the same sum at the same rate for the same period is Rs.800.What is the rate of interest? एक धनराशि पर दो वर्षो का चक्रवृद्धि ब्याज 832 रू. है और इसी धनराशि पर इसी समान दर व समय में साधारण ब्याज 800 रू. है। ब्याज की दर क्या है ?

  1. 6%

  2. 8%

  3. 10%

  4. 12%
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B Correct answer
Explanation

The difference between CI and SI for 2 years is the interest on the first year's interest. Difference = 832 - 800 = 32. This equals P × r²/10000 where r is the rate. Also SI = P × r × 2/100 = 800. From these, we get r = 8%. Verification: P = 5000, SI = 800, CI = 832.

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