The simple interest accrued on an amount of Rs.14800 at the end of three years is Rs.6216. What would be the compound interest accrued on the same amount at the same rate in the same period? एक धनराशि रु.14800 पर प्राप्त किया गया तीन वर्षों के अंत में साधारण ब्याज रु.6216 है | उसी राशि पर समान समय के लिए समान ब्याज दर से कितना चक्रवृद्धि ब्याज प्राप्त होगा ?
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Rs./रु.6986.1142
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Rs./रु.7042.2014
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Rs./रु.7126.8512
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Rs./रु.8321.4166
C
Correct answer
Explanation
Simple Interest: 6216 = 14800 × R × 3, so Rate R = 6216/(14800×3) = 14% per annum. Compound Interest for 3 years at 14%: 14800 × [(1.14)^3 - 1] = 14800 × (1.481544 - 1) = 14800 × 0.481544 = Rs.7126.85. The difference between compound and simple interest arises because CI earns interest on interest, while SI only earns on the principal. For the same rate and period, CI is always greater than SI when time > 1 year.