Multiple choice

The difference between the simple interest and compound interest with interest being compounded annually, on a certain sum at 20% per annum for 3 years is Rs.1152. Find the sum. एक निश्चित धनराशि पर 20% वार्षिक ब्याज की दर से 3 वर्ष में साधारण ब्याज और चक्रवृद्धि ब्याज में अन्तर 1152 रु. है जबकि ब्याज वार्षिक रूप से उपचयित होता है | धनराशि ज्ञात कीजिये |

  1. Rs./रु.9500

  2. Rs./रु.10000

  3. Rs./रु.9000

  4. Rs./रु.8000
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C Correct answer
Explanation

For 3 years at 20%, simple interest = 0.6P and compound interest = 0.728P. The difference is 0.728P - 0.6P = 0.128P. Given the difference is Rs.1152, we solve 0.128P = 1152, giving P = Rs.9000. The difference arises because compound interest earns interest on accumulated interest, while simple interest only earns on the principal.

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