Question
A certain sum invested at compound interest of 10% p. a
compounded annually, returns Rs. 6292 after 2 years. If a 20% greater sum is invested at a simple interest of 9% p. for ‘n’ years, then the interest received would be Rs. 2700. Find the value of 'n'.Solution
Let the sum invested = Rs. P Then, total amount returned = Y × {1 +(10/100)}2 = 6292 Or Y × 1.21 = 5808 So, Y = 6292 ÷ 1.21 = 5200 The sum invested at simple interest = 52500 × 1.20= Rs. 6240 Simple interest received = 6240 × 9 × n ÷ 100=2700 56160n=270000 n=270000/56160 =4.8%
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