What sum of money will amount to ₹9261 in 3 years at 5% per annum compound interest?

Let principal = P.

Given, A = ₹9261, rate = 5%, n = 3.

We know,

A = $P\Big(1 + \dfrac{r}{100}\Big)^n$

Putting values in formula we get,

$9261 = P\Big(1 + \dfrac{5}{100}\Big)^3 \\[1em] 9261 = P\Big(\dfrac{105}{100}\Big)^3 \\[1em] 9261 = P\Big(\dfrac{21}{20}\Big)^3 \\[1em] 9261 = P \times \dfrac{9261}{8000} \\[1em] P = \dfrac{9261 \times 8000}{9261} \\[1em] P = ₹8000.$

Hence, ₹8000 will amount to ₹9261 in 3 years at 5% per annum compound interest.