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    Question

    The amount of simple interest earned on ₹4080 at an

    annual rate of 7.5% for t years is compared to the simple interest earned on ₹3250 at an annual rate of 4.5% for 2t years. If the ratio of these two amounts is 6:5, find the value of t.
    A 3 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 2.5 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer
    E 4 Correct Answer Incorrect Answer

    Solution

    ATQ,
    [4080(1 + 7.5*t/100)]/[3250(1 + 4.5*2t/100)] = 6/5
    408(100 + 7.5t)/325(100 + 9t) = 6/5
    6800 + 510t = 6500 + 585t
    75t = 300
    t = 4 years

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