When two equal amounts are deposited for 5 years and 3 years at the rate of 7% and 9% per annum respectively, and the difference of their simple interest is Rs 475. Then find the deposited amount.

₹ 5,937.5 ₹ 5,992.5 ₹ 5,837.5 ₹ 6,037.5

₹ 5,937.5

Simple interest = \(\frac{Principal ×Rate × Time }{100}\) Let sum = Rs. P \(\frac{P × 7 × 5 }{100}\) - \(\frac{P ×3× 9 }{100}\) = 475 35P - 27P = 47500 8P = 47500 P = Rs.5937.5