Question
Suresh deposited Rs. ‘Q’ in a bank offering compound
interest of 7% p.a. compounded annually. After 5 years, he invested the amount received from the bank in scheme ‘K’ and ‘L’ in the ratio of 10:7 respectively. Scheme ‘L’ offers compound interest of 21% p.a. compounded annually while scheme ‘K’ offers simple interest of 11% p.a. If total interest received by him from schemes K and L together at the end of 2 years is Rs. 4026.4, then find the value of ‘Q’.Solution
ATQ Let amount invested in scheme ‘K’ and scheme ‘L’ be Rs. ‘10u’ and Rs. ‘7u’, respectively. So, 0.11 × 2 × 10u + 0.42 × 7u = 4026.4 Or, 2.2u + 2.94u = 4026.4 Or, 5.14u = 4026.4 Or, u = 783.23 So, Q = (10 × 783.23 + 7 × 783.23)/(1.07 × 1.07 × 1.07 × 1.07 × 1.07) = Rs. 7000
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