Calculate the principal if an amount of Rs. 441 is received on compound interest at the rate of 5%per annum after 2 years

To calculate the principal amount, we need to use the formula for compound interest which is:

A = P (1 + r/n)^(nt)

Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years

In this case, we know: A = Rs. 441 r = 5% per annum = 0.05 (in decimal) n = 1 (interest is compounded annually) t = 2 years

We can substitute these values into the formula and solve for P:

441 = P (1 + 0.05/1)^(1*2) 441 = P (1 + 0.05)^2 441 = P (1.05)^2 441 = P * 1.1025

Now, to find the principal amount, we divide both sides by 1.1025:

P = 441 / 1.1025 P = Rs. 400

So, the principal amount is Rs. 400.