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    A certain sum of money amounts to Rs. 1250 in 3 years and Rs. 1600 in 8 years at simple interest. Find the sum.
    Question

    A certain sum of money amounts to Rs. 1250 in 3 years and Rs. 1600 in 8 years at simple interest. Find the sum.

    A.

    1100

    B.

    1040

    C.

    1050

    D.

    1024

    Correct option is B

    Given:
    The sum of money amounts to Rs. 1250 in 3 years and Rs. 1600 in 8 years.
    Formula Used:
    Amount = Principal (Sum) + Interest
    Solution:
    Time = 8 - 3= 5 years
    Interest in 5 years = (1600 - 1250) = 350
    => Interest in 1 year =  3505\frac{350}{5}​ = Rs. 70
    => Interest in 3 years =  (3 × 70) = Rs. 210
    Required sum = 1250 - 210 = 1040
    ∴ The sum is Rs. 1040.

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