A sum of Rs 15200 is divided into two parts. The simple interest on first part at the rate of 25% per annum is equal to the simple interest on second part at the rate of 13% per annum. What is the interest (in Rs) of each part?

Let sum invested for 25% = Rs. $$100x$$ and sum invested for 13% = Rs. $$(15200-100x)$$

Time period = 1 year

=> Simple interest = $$\frac{P\times R\times T}{100}$$

According to ques,

=> $$\frac{100x\times25\times1}{100}=\frac{(15200-100x)\times13\times1}{100}$$

=> $$25x=(152-x)\times13$$

=> $$25x=1976-13x$$

=> $$25x+13x=38x=1976$$

=> $$x=\frac{1976}{38}=52$$

$$\therefore$$ Interest for each part = $$\frac{100\times52\times25\times1}{100}$$

= Rs. $$1300$$

=> Ans - (B)