 Hello and welcome to the session. In this session we discuss the following question which says RM deposited Rs. 30,000 in a bank where the interest is credited quarterly. If the rate of interest be 8% per annum, what amount will you receive after 6 months? First let's recall the formula for the amount after n years compounded quarterly and this is equal to P into 1 plus r upon 4 into 100, this whole to the power 4n where P is the principal, r is the rate of interest and n is the time. This is the key idea to be used in this question. Now let's proceed with the solution. We are given that RM deposited Rs. 30,000 in the bank that is we are given the principal P is equal to Rs. 30,000 then interest is credited quarterly and it is given that the rate of interest is 8% per annum that is we have r is equal to 8% per annum then n is equal to 6 months that is equal to 6 upon 12 years that is 1 upon 2 years. Now since the interest is compounded quarterly so we will be using this formula given in the key idea to find the amount after n years or in this case after 1 upon 2 years so we get the amount a is equal to Rs. 30,000 into 1 plus r that is 8 upon 4 into 100 this whole to the power 4 into n that is 1 upon 2. This is equal to Rs. 30,000 now for 2 times is 8 into 102 upon 100 whole to the power 2 that is we get this is equal to Rs. 30,000 into 102 upon 100 into 102 upon 100. Now these two zero cancels with these two zero, these two zero cancels with these two zero and so this is equal to Rs. 3 into 102 into 102 which is equal to Rs. 31212. That is we have amount a is equal to Rs. 31,212. So Arun would receive Rs. 31,212 after 6 months so final answer is Rs. 31,212. So this completes the session hope you have understood the solution for this question.