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?
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