 Hello and welcome to the session. In this session we are going to discuss the following question. The question says that what sum of money will amount to $3630 in two years at 10% per annum compound interest? The compound interest law is amount is equal to P into 1 plus R upon 100 raised to power n where P is equal to the principal R is equal to the rate of interest, n is equal to time in years. With this key idea we shall proceed with the solution. According to the question we need to find the money which is invested that amounts to $3630 at 10% per annum after two years. So here we are given the amount A is equal to $3630. Rate of interest R is equal to 10% per annum and the time is equal to two years. Let the amount invested be equal to P which is the principal which we need to find here. The compound interest law is amount is equal to P into 1 plus R by 100 raised to power n. So putting all the values we have $3630 is equal to P into 1 plus 10 upon 100 raised to power 2. This implies $3630 is equal to P into 1 plus 1 by 10 raised to power 2. This implies $3630 is equal to P into 11 by 10 into 11 by 10. Now here we need to calculate the value of P. So from this equation we have P is equal to $3630 into 10 into 10 upon 11 into 11. So this implies P is equal to $3000. So the required sum of money is equal to $3000 which is our answer. This completes our session. Hope you enjoy the session.