Some part of Rs 17500 was lent at the rate of 24% per annum simple interest and the remaining part at the rate of 10% per annum simple interest. The total interest received after 5 years is Rs 13300. What is the ratio of money lent at the rate of 24% and 10%?

Let sum lent for 24% = Rs. $$100x$$ and sum lent for 10% = Rs. $$(17500-100x)$$

Time period = 5 years

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

According to ques,

=> $$\frac{100x\times24\times5}{100}+\frac{(17500-100x)\times10\times5}{100}=13300$$

=> $$120x+(175-x)\times50=13300$$

=> $$120x+(175\times50)-50x=(175\times76)$$

=> $$70x=175(76-50)$$

=> $$x=\frac{175\times26}{70}=65$$

$$\therefore$$ Required ratio = $$\frac{100\times65}{17500-(100\times65)}$$

= $$\frac{6500}{11000}=\frac{65}{110}=13:22$$

=> Ans - (D)