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    Question

    Meera deposited Rs. β€˜W’ in a bank offering compound

    interest of 9% p.a. compounded annually. After 3 years, she invested the amount received from the bank in scheme β€˜G’ and β€˜H’ in the ratio of 5:4 respectively. Scheme β€˜H’ offers compound interest of 25% p.a. compounded annually while scheme β€˜G’ offers simple interest of 10% p.a. If total interest received by her from schemes G and H together at the end of 2 years is Rs. 2970, then find the value of β€˜W’.
    A Rs.4000 Correct Answer Incorrect Answer
    B Rs.4500 Correct Answer Incorrect Answer
    C Rs.6000 Correct Answer Incorrect Answer
    D Rs.5500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ Let amount invested in scheme β€˜G’ and scheme β€˜H’ be Rs. β€˜5s’ and Rs. β€˜4s’, respectively. So, 0.10 Γ— 2 Γ— 5s + 0.50 Γ— 4s = 2970 Or, 1.0s + 2.0s = 2970 Or, 3.0s = 2970 Or, s = 990 So, W = (5 Γ— 990 + 4 Γ— 990)/(1.09 Γ— 1.09 Γ— 1.09) = Rs. 4500

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