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Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is1). Rs. 15502). Rs. 16503). Rs. 17504). Rs. 2000 |
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Answer» For calculating compound INTEREST, Principal = Rs. 4000, Time period = 2 years, Let the rate = 10 % We know, AMOUNT = Principal (1 + Rate/100)n And compound interest = Amount - Principal = 4000 (1 + 10/100)2 - 4000 = Rs. 840 It is GIVEN that simple interest is half the compound interest We know, Simple interest = (P × R × T)/100 Simple interest = Rs. 420, rate = 8%, time = 3 years ⇒ 420 = (P × 8 × 3)/100 ⇒ P = Rs. 1750 ∴ The sum PLACED on simple interest is Rs. 1750 |
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