College

At what rate percent per annum compound interest does Rs 3125 amount to Rs 3380 in 2 years?​

Answer :

The rate percent per annum compound interest is 4%.

To find the compound interest rate, we use the compound interest formula:

A = [tex]P(1 + r/n)^n^t[/tex]

Given: A = 3380, P = 3125, t = 2 years, and n = 1 (compounded annually)

Rearranging the formula to solve for r:

  1. A = [tex]P(1 + r)^t[/tex]

3380 = 3125[tex](1 + r)^2[/tex]

Dividing both sides by 3125:

1.0816 = [tex](1 + r)^2[/tex]

Taking the square root of both sides:

√1.0816 = 1 + r

1.04 = 1 + r

Subtracting 1 from both sides:

r = 0.04 or 4%

Therefore, the rate percent per annum is 4%.