The simple interest on an amount for 6 years at 4% p.a. is ₹ 7,500 less than the simple interest on the same amount for 11 years. Find the amount.

Correct option is C

Given
Difference in SI = ₹ 7500
Rate = 4% p.a.
Time 1 = 6 years, Time 2 = 11 years

Formula Used
​$$SI = \frac{P \times R \times T}{100}$$​​

Solution
Difference in Time = 11 - 6 = 5 years
SI for 5 years = $$\frac{P \times 4 \times 5}{100} = 7500$$​​
​$$\frac{20P}{100} = 7500\\\ \\\frac{P}{5} = 7500\\\ \\P = 37500$$​​
Final Answer
So the correct answer is (c)