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    The difference between the compound and the simple interests on a certain sum of money for two years, at 5% per annum, is ₹1. The sum is:
    Question

    The difference between the compound and the simple interests on a certain sum of money for two years, at 5% per annum, is ₹1. The sum is:

    A.

    ₹450

    B.

    ₹550

    C.

    ₹400

    D.

    ₹500

    Correct option is C

    Given:
    Difference between compound interest (CI) and simple interest (SI) for 2 years = ₹1
    Rate of interest = 5% p.a.

    Formula Used:
    Difference between CI and SI for 2 years = P × (R/100)², where P is the principal and R is the rate.

    Solution:
    1 = P × (5/100)²
    1 = P × (25/10000)
    P = 1 × 10000 / 25
    P = ₹400


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