What will be the principle, if the rate of 5% per annum can yield ₹ 410 as compound interest in 2 yr?

Let the amount be ₹ P
R = 5%, n = 2 yr and CI ₹ 410
By formula, CI = P [ (1 + R/100)ⁿ - 1 ]
⇒ 410 = P [ (1 + 5/100)² - 1]
⇒ 410 = P [ (1 + 1/20)² - 1]
⇒ 410 = P [ (21/20)² - 1]
⇒ 410 = P [ 441/400 - 1 ]
⇒ 410 = P [(441 - 400) /400] = P x 41/400
⇒ P = (410 x 400)/41
∴ P = ₹ 4000