 Hello and welcome to the session. In this session we discuss the following question that says it is agreed that A will pay to be $1.60 on 6th April, $2.30 on 30th April, $1.50 on 17th May, $200 on 26th May. Find the average due date. To find the average due date, first of all we take an arbitrary fixed date as the 0 date. We assume even P2, P3 and so on with different elements, even P2, P3 and so on days respectively that we assumed. And we take this capital D to be the equated time of payment. We have the equated time of payment that is capital D is equal to P1 D1 plus P2 D2 plus P3 D3 plus and so on. And this whole upon plus P2 plus P3 plus and so on that is equal to submission PD upon submission P. And the average due date which falls to the 0 date and it lies between the earliest and the latest dates of different payments, the equated time between D to the 0 date. So this is the key idea that we use for this question. Let's move on to the solution now. And we are given different payments with their due dates. We are supposed to find the average due date. Now the first due date is 6th April, B by 0 date. So 8 to 6 is taken as the 0 date. Now here we have made 4 columns in which we have the due dates and the payments and the runway of days from 0 date and P multiplied by B. So from the question we have the first due date as the name that is capital P in dollars. For this due date is 60 dollars from the 0 date would be 0 since the 0 date is April 6 itself. The type of D would be 0 that is 160 multiplied by 0 is 0. The next due date is 30th April and its payment is 230 dollars. So here we have April 30 230 dollars of payment. And the number of days from 0 date were days from April 6 to April 30 would be 20 P multiplied by D that is 230 multiplied by 24 to 0. Now here from the question we have the next due date is 17th May and the respective payment is 150 dollars. So here we have May 17 and the payment is 150 dollars. And number of days from 6th April that is the 0 date to May 17 is P multiplied by D is 6150. Now the next due date is 26th May with payment 200 dollars. So here we have May 26 with the respective payment as 200 dollars. And the number of days from the 0 date that is April 6 to May 26 is 50 and P multiplied by B is summation P which is equal to 160 plus 230 plus 150 plus 200 which is 740. Now summation PD is equal to 0 plus 5520 plus 6150 plus 10000 and that is equal to 21670. The equated time of payment that is capital D is equal to summation PD upon summation P. So equated time of payment that is capital D is equal to summation PD upon summation P which is equal to 21670 upon 740 here 00 cancels and 21670 upon 74 is equal to 29.28 The time of payment D is equal to 29 days. 29.2029 so we get capital D as 29 days. Some of the days are neglected in favour of the creditor. The average due date is the date which falls after the 0 day and it is obtained by adding the equated time capital D to the 0 date. The average due date is equal to 29 the 0 date which is 6 April. This is equal to the average due date is equal to this completes the session. Hope you have understood the solution of this question.