Question
Nisha deposited Rs. βPβ in a bank offering compound
interest of 11% p.a. compounded annually. After 2 years, she invested the amount received from the bank in scheme βIβ and βJβ in the ratio of 6:5 respectively. Scheme βJβ offers compound interest of 19% p.a. compounded annually while scheme βIβ offers simple interest of 13% p.a. If total interest received by her from schemes I and J together at the end of 2 years is Rs. 2794, then find the value of βPβ.Solution
ATQ Let amount invested in scheme βIβ and scheme βJβ be Rs. β6tβ and Rs. β5tβ, respectively. So, 0.13 Γ 2 Γ 6t + 0.38 Γ 5t = 2794 Or, 1.56t + 1.90t = 2794 Or, 3.46t = 2794 Or, t = 807.51 So, P = (6 Γ 807.51 + 5 Γ 807.51)/(1.11 Γ 1.11) = Rs. 5000
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