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    Question

    A certain sum of money amounts to ₹3360 at a rate of R%

    per annum under simple interest after 5 years, and to ₹3480 at a rate of 15% per annum under simple interest after 3 years. Find the total amount that would be received on the same principal at a rate of (R + 4)% per annum under simple interest after 4 years.
    A Rs 4134 Correct Answer Incorrect Answer
    B Rs 3760 Correct Answer Incorrect Answer
    C Rs 3552 Correct Answer Incorrect Answer
    D Rs 4126 Correct Answer Incorrect Answer
    E Rs 3680 Correct Answer Incorrect Answer

    Solution

    Let the principal = P
    [P(1 + 5*R/100]/[P(1 + 15*3/100)] = 3360/3480 = 28/29
    29(100 + 5R) = 28(100 + 45)
    5R = 140 - 100
    R = 8
    Now, Amount received after four years = P{1 + 4*(8 + 4)/100}]/[P(1 + 5*8/100] * 3360
    = 148*24 = ₹3552

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