An equal sum of money was lent to P and Q at 8.6% per annum for a period of 7 years and 8 years, respectively. If the difference in interest paid by them was Rs. 172, then the sum lent to each was:

Correct option is D

Given:
Principle sum same is lent at two different time periods of 7 years and 8 years.
Rate of interest = 8.6%
Difference in interest is Rs 172
Formula Used:
Simple interest = $$\frac{P×R×T}{100}$$​​
Solution:
​$$\frac{P \times R \times t_2}{100} - \frac{P \times R \times t_1}{100} = 172 \\\ \\\frac{P \times R}{100} (t_2 - t_1) = 172 \\\ \\\frac{P \times R}{100} (8 - 7) = 172 \\\ \\P = \frac{172 \times 100}{8.6} = \text{Rs } 2000$$​​