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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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