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A sum is to be paid back in 2 equal annual installments. The interest is compounded annually at 2% per annum. If each installment be Rs. 25600 then what is the sum?

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A sum is to be paid back in 2 equal annual installments. The interest is compounded annually at 2% per annum. If each installment be Rs. 25600 then what is the sum?


1). Rs. 26,484
2). Rs. 37,585
3). Rs. 63,547
4). Rs. 49,664


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Answered by on | Votes 0 |

Given that value of each installment = Rs. 25600

Rate R = 2%

Number of investments = 2

⇒ Value of each installment = $(\frac{P}{{\left( {\frac{{100}}{{100 + R}}} \right) + {{(\frac{{100}}{{100 + R}})}^2}}})$ = $(\frac{P}{{\left( {\frac{{100}}{{100 + 2}}} \right) + {{(\frac{{100}}{{100 + 2}})}^2}}})$ = P/1.94

⇒ 25,600 × 1.94 = Principal

∴ Principal = Rs. 49,664

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