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    Question

    An amount of Rs. 3,600 grows to Rs. 4,680 in 6 years under

    simple interest at the rate of r% per annum. If Rs. 4,500 is invested at a rate of 1.8r% per annum for 4 years, what will be the interest earned?
    A Rs.1525 Correct Answer Incorrect Answer
    B Rs.1720 Correct Answer Incorrect Answer
    C Rs.1620 Correct Answer Incorrect Answer
    D Rs.1700 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Interest earned in 6 years = 4680 – 3600 = Rs. 1,080

    Simple interest = Sum invested × rate of interest × time period in years ÷ 100

    So, 1080 = 3600 × r × 6 ÷ 100

    Or, r = 1080 ÷ (6 × 36)

    So, r = 5

    So, new rate of interest = 1.8 × 5 = 9% p.a.

    So, required interest = 4500 × 9 × 4 ÷ 100 = Rs. 1,620

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