 Hello and welcome to the session. Today I'll help you with the following question. The question says Vasudevan invested Rs. 60,000 at an interest rate of 12% per annum compounded half-yearly. What amount would he get after one year? The formula for amount that we use in this question is A is equal to P multiplied by 1 plus r upon 100 whole to the power n, where A is the amount, is the principle, r is the rate of interest and n is the number of years. This is the key idea that we use for this question. Now let's move on to the solution. The principle P for this question is Rs. 60,000 that is the money which Vasudevan invested and then rate of interest r is given to be 12% per annum compounded half-yearly. Now as it is given that the interest is compounded half-yearly. So in this case there are two conversion periods in a year each after six months. So in such situations the half-yearly rate will be half of the annual rate. So the rate of interest r in this case would be half of the annual rate that is 12%. So half of 12% is equal to 6% half-yearly. And then the time n is equal to 1 year which is equal to 2 half-years. So we have n is equal to 2. Now the formula for amount is the amount A is equal to principle P multiplied by 1 plus rate of interest r upon 100 whole to the power time n. So now we will substitute the values for P, r and n. Now the principle P is Rs. 60,000 so this is equal to Rs. 60,000 multiplied by 1 plus. Now the rate of interest r is 6% so 6 upon 100 whole to the power n that is 2. Now this is again equal to Rs. 60,000 multiplied by 106 upon 100 whole square which is again equal to Rs. 60,000 multiplied by 106 multiplied by 106 total upon 100 multiplied by 100. Now these two zeros gets cancelled with these two zeros and these two zeros gets cancelled with these two zeros. So we have Rs. 6 multiplied by 106 multiplied by 106 which is equal to Rs. 67,416. Hence the amount A is equal to Rs. 67,416. Hence our final answer is Rs. 67,416. So hope you enjoyed the session. Have a good day.