 Hi and how are you all today? The question says the bankers discount and bankers gain on a certain bill of exchange due after certain time or respectively 1250 and rupees 50. Find the face value of the bill. Here, let the face value of the bill, we are given that bankers discount that is S into R into T where R is the rate and T is the time given to us as 1250 whereas bankers gain is given to us as rupees. So we have true discount, bankers discount minus bankers gain isn't it? That is rupees 1250 minus rupees 50 that is rupees 1200. We also know that the formula for true discount is SRT upon 1 plus R. So we have in place of SRT, we can substitute this value. So 1250 upon 1 plus RT is equal to rupees 1200. Also, we can write RT as 1250 upon S, this is right. Now what we need to do further is we just need to solve this equation. So we have 1250S upon S plus 1250 is equal to 1200. Further, 1250S minus 1200S is equal to 1200 into 1250. 50S is equal to the product. This further implies S is 150000 upon 50. This on simplifying gives us the face value of the bill as rupees 30,000. Right? So this completes the session. Hope you understood it well and enjoyed it also. Have a nice day.