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    At what rate percentage per annum (correct to one place of decimal) will ₹17,280amount to ₹23,520 in 2 years, if the interest is compounded annually?
    Question

    At what rate percentage per annum (correct to one place of decimal) will ₹17,280amount to ₹23,520 in 2 years, if the interest is compounded annually?

    A.

    16.7%

    B.

    15.9%

    C.

    16.4%

    D.

    15.4%

    Correct option is A

    Given:

    Principal (P) = ₹17,280

    Amount (A) = ₹23,520

    Time (T) = 2 years

    Interest is compounded annually.

    Formula Used: 

    Amount compounded annually;

    Amount = P(1+R100)TP \left(1 + \frac{R}{100}\right)^T​​

    Solution:

    23520=17280(1+R100)223520 = 17280 \left(1 + \frac{R}{100}\right)^2​​

    (1+R100)2=2352017280\left(1 + \frac{R}{100}\right)^2 = \frac{23520}{17280}​​

    1+R100=761 + \frac{R}{100} = \frac76​​

    R100=761=16\frac{R}{100} = \frac76- 1 = \frac16​​

    R = 16.67%

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