 Hello and welcome to the session. Let us discuss the following question. It says a household article is available for Rs 970 cash or Rs 210 cash-down payment followed by four equal monthly installments. If the rate of interest charged under the installment plan is 16% per annum, find the amount of each installment. Let us now move on to the solution. The first step is to write the cash price or CP of the article and it is given to be Rs 970. The second step is to write the cash down payment which is Rs 210. Now the third step is to find the balance due that is amount after paying Rs 210. So it is Rs 970-210. So it is equal to Rs 760. Now the fourth step is to find the interest paid under the installment scheme. So let amount of each installment be equal to Rs X and we are given that the number of installments are four. So the amount paid under installment scheme is Rs 4X. Since amount of each installment is Rs X and number of installments are four. So the amount paid under the installment scheme will be Rs 4X or the amount paid in four installments is Rs 4X. Now we will find the interest paid under installment scheme will be the amount paid in four installments minus the balance due. So this is the interest paid. Now the fifth step is to find the principal for four months. Now the principal for first month is the balance due and the principal for second month is Rs 760-210. The installment paid in the first month are the principal for third month is equal to Rs 760-X. That is the principal for the second month minus the interest paid in the second month minus the installment paid in the second month. It is not interest. X is the installment. So it is Rs 760-2X. Now similarly principal for fourth month is equal to Rs 760-2X minus X that is 760-3X. Now the total principal for one month is equal to Rs the sum of all these principals as 760-760-760 that is 3040-X-2X-3X-6X. So this is the total principal for one month. Now the sixth step is now the interest is given by the formula principal into the rate of interest into time upon 100. Now the principal is Rs 3040-6X. Interest is Rs 4X-760 as we obtained in step 3, step 4. And the rate of interest R is 16% per annum and P is 1 by 12. Since we have obtained the principal for one month P will be 1 by 12. Now substituting all these values in the formula we have 4X-760 is equal to P that is 3040-6X-16 into 1 upon 12 upon 100. This can also be written as 4X-760 is equal to 3040-6X into 16 upon 100 into 1 upon 12. Now 4 into 4 is 16, 4 into 3 is 12 and 4 into 25 is 100. So we have 4X-760 is equal to 3040-6X into 1 upon 25 into 3 that is 1 upon 75. Now cross multiplying we have 75 into 4X-760 is equal to 3040-6X. 75 into 4X is 300X, 75 into minus 760 is minus 57000 is equal to 3040-6X. So this implies 300X plus 6X is equal to 3040 plus 50000. So this implies 306X is equal to 600040. Adding these two we have 600040. So this implies X is equal to 600040 upon 306 and this implies X is equal to 196. Thus amount of each installment is equal to rupees 196. So this completes the question. Do take care of your calculations. Write the formula which are you using. So this completes the session. Bye for now. Take care. Have a good day.