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    What will be the total amount payable on a sum of Rs.12,500 after two years at the rate of 10% per annum if the interest is compounded annually?
    Question

    What will be the total amount payable on a sum of Rs.12,500 after two years at the rate of 10% per annum if the interest is compounded annually?

    A.

    Rs.18,500

    B.

    Rs.17,790

    C.

    Rs.15,125

    D.

    Rs.25,000

    Correct option is C

    Given:

    Principal (P) = ₹12,500

    Rate (R) = 10% per annum

    Time (T) = 2 years

    Formula Used:

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

    Solution:

    A = 12500(1+10100)212500 \left(1 + \frac{10}{100} \right)^2​​

    A = 12500(110100)212500 \left( \frac{110}{100} \right)^2​​

    A = 12500(110100)(110100)12500 \left( \frac{110}{100} \right) \left( \frac{110}{100} \right)​​

    A = 125×11×11125 \times11 \times11​​

    A = 15,125 

    Alternate Method:  

    10%

    Total CI = 12500 + 1250 + 1250 + 125 = 15125 


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