 Hi and welcome to the session. Let's work out the following question. The question says a bill of Rs 5300 drawn on 16th January 2003 for 8 months was discounted on 12th February 2003 at 10% per annum, buying the bankers gain and discounted value of the bill. So let's start with the solution to this question. We have drawn date of the bill as 16th January 2003. The term of the bill is 8 months. Therefore due date of the bill will be 19th September 2003 and date of discounting will be 12th February 2003. Therefore number of days from the date of discounting due date is equal to 16 days of February, 31 days of March, 30 days of April, 31 days of May and so on till 19 days of September. So this equals to 219 days or we can say that T is equal to 219 divided by 365 days. Now S is rupees 5300, R is 10% that is 10 by 100 that is equal to 1 by 10. Therefore VD that is bankers discount is equal to S into R into T that is 5300 into 1 by 10 into 219 divided by 365. And that is equal to rupees 318. So discounted value of the bill is equal to 5300 minus 318 that is equal to rupees 4982. Now true discount or TD is equal to SRT divided by 1 plus RT that is equal to 318 divided by 1 plus 1 upon 10 into 219 divided by 365. It is further equal to 318 into 10 into 365 divided by 365 0 plus 365 plus 2190. Sorry in the denominator here we will have 10 into 365 plus 219 and this is further equal to 318 into 365 0 divided by 3869 and this is equal to rupees 300. Therefore bankers gain that is BG is bankers discount minus true discount that is equal to 318 minus 300 that is equal to rupees 18. So our answer to the question is that bankers gain is rupees 18 and discounted value is rupees 4982. So this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.