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    Find the compound interest on 12,500 at 3% per annum for 3 years when interest is compounded annually (correct to the nearest rupees).
    Question

    Find the compound interest on 12,500 at 3% per annum for 3 years when interest is compounded annually (correct to the nearest rupees).

    A.

    Rs. 1,140

    B.

    Rs. 1,170

    C.

    Rs. 1,159

    D.

    Rs. 1,180

    Correct option is C

    Given:

    Principle = 12500

    Rate = 3%

    Time = 3 years

    Formula used:

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

    Solution:

    According to the formula

     Amount =12500(1+3100)3 Amount =12500×103100×103100×103100\begin{aligned}& \text { Amount }=12500\left(1+\frac{3}{100}\right)^3 \\& \text { Amount }=12500\times \frac{103}{100} \times \frac{103}{100} \times \frac{103}{100}\end{aligned}​​

    => Amount = Rs 13659

    => Total Interest earned = 13659 - 12500 = Rs. 1159.

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