Multiple choice

Simple interest on a certain sum of money for 3 years at 10% per annum is half the compound interest on Rs. 6000 for 2 years at 10% per annum. Find the sum placed on simple interest. 10% प्रतिवर्ष पर 3 वर्षों के लिए एक निश्चित राशि पर साधारण ब्याज 6000 रूपये पर 10% प्रतिवर्ष की दर से 2 वर्ष के चक्रवृद्धि ब्याज का आधा है। साधारण ब्याज पर लगाया गया धन ज्ञात कीजिये।

  1. Rs./रू. 4200

  2. Rs./रू. 2100

  3. Rs./रू. 1050

  4. Rs./रू. 1680
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B Correct answer
Explanation

CI on Rs. 6000 for 2 years at 10%: 6000×(1.1²-1) = 6000×0.21 = Rs. 1260. SI is half of this = Rs. 630. For 3 years at 10%, SI = P×3×0.1 = 0.3P. So 0.3P = 630, P = Rs. 2100.

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