 Hello and welcome to the session. In this session we discuss the following question which says find the amount and the compound interest by using the formula. We are given principal equal to rupees 60,000, rate is equal to 10% per annum and time is equal to 2.5 years. First let's recall the formula for the amount a is equal to p into 1 plus r upon 100 whole to the power n. Here we have p is the principal, r is the rate of interest, n is the time. And also we have compound interest is equal to amount a minus the principal p. This is the key idea for this question. Now let's move on to the solution. We are given the principal as rupees 60,000 that is we have p is equal to rupees 60,000, rate as 10% per annum that is r is equal to 10% per annum and time equal to 2.5 years that is we have n is equal to 2.5 years. Now you observe that time is given in fractions. Now we substitute the values for p, r and n in this formula for amount. So we get the amount a is equal to rupees 60,000 into 1 plus r that is 10 upon 100. Now whole to the power n and n is in fractions. So in this first part we write 1 plus 10 upon 100 whole to the power 2. We have used this 2 and this into 1 plus 1 upon 2 into 10 upon 100. That is this 1 upon 2 is taken here. Now we simplify this and so this is equal to rupees 60,000 into now this 0 and this 0 gets cancelled. So this would be 11 upon 10 whole square into now this 0 and this 0 gets cancelled. So it would be 21 upon 20 that is we get this is equal to rupees 60,000 into 11 upon 10 into 11 upon 10 into 21 upon 20. Now this 0 this 0 gets cancelled. This 0 and this 0 gets cancelled and 2 30 times is 60. So this would be equal to rupees 30 into 11 into 11 into 21. This is equal to rupees 76,230. So we get amount a is equal to rupees 76,230. Now the compound interest is equal to amount a minus the principal p. This is equal to rupees 76,230 minus rupees 60,000 that is the principal and this would be equal to rupees 16,230. So our final answer is amount a is equal to rupees 76,230 and compound interest is equal to rupees 16,230. So this completes the session. Hope you have understood the solution for this question.