Multiple choice

A sum is invested at compound interest payable annually. The interest in two successive years was Rs.900 and Rs.981. Find the sum. एक धनराशि वार्षिक चक्रवृद्धि ब्याज पर निवेश की जाती है । दो क्रमागत वर्षों में ब्याज 900 रू. और 981 रू. है । धनराशि ज्ञात कीजिए ।

  1. Rs. 10000

  2. Rs9000

  3. Rs. 12000

  4. Rs. 9900
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A Correct answer
Explanation

When interest increases from Rs.900 to Rs.981, the rate of interest = (981-900)/900 × 100 = 9%. If compound interest for first year is Rs.900 at 9%, then principal = 900 ÷ 0.09 = Rs.10000. This uses the property that in compound interest, the difference between successive years gives the rate.

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