Question
Suresh deposited Rs. βQβ 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 βKβ and βLβ in the ratio of 10:7 respectively. Scheme βLβ offers compound interest of 21% p.a. compounded annually while scheme βKβ 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 βQβ.Solution
ATQ Let amount invested in scheme βKβ and scheme βLβ be Rs. β10uβ and Rs. β7uβ, respectively. So, 0.11 Γ 2 Γ 10u + 0.42 Γ 7u = 4026.4 Or, 2.2u + 2.94u = 4026.4 Or, 5.14u = 4026.4 Or, u = 783.23 So, Q = (10 Γ 783.23 + 7 Γ 783.23)/(1.07 Γ 1.07 Γ 1.07 Γ 1.07 Γ 1.07) = Rs. 7000
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