Mohit borrowed some money from Kamal at 5% per annum compound interest. If after 2 years, he paid ₹ 768.75 as compound interest, he borrowed :

Correct option is A

Given
Rate (R) = 5% p.a.
Time (n) = 2 years
CI = ₹ 768.75

Formula Used
​$$CI = P[(1 + \frac{R}{100})^n - 1]$$​​

Solution
​$$768.75 = P[(1.05)^2 - 1] \\\ \\768.75 = P[1.1025 - 1] \\\ \\768.75 = 0.1025 P \\\ \\P = \frac{768.75}{0.1025} = 7500$$​​

Final Answer
So the correct answer is (a)