 Hello and welcome to the session. In this session we discussed the following question which says a dealer gets rupees 500 more if instead of selling the table at a loss of 10% it is sold at a gain of 10% find the cost price of the table. First let's recall the formula of the selling price SP when we are given gain percent and this is equal to 100 plus gain percent this whole upon 100 and this whole into the cost price CP and the selling price when we are given loss percent is equal to 100 minus loss percent this total upon 100 and this whole into the cost price CP. This is the key idea to be used for this question. Now let's proceed with the solution. First we assume let the cost price P of the table be equal to rupees X then next we find out the selling price of the table 10% loss is given by now we use this formula and so this would be equal to 100 minus 10 upon 100 into the cost price of the table which is X that is we have selling price of the table at 10% loss is equal to rupees 100 minus 10 upon 100 into X that is equal to rupees 9 upon 10 this total into X that is rupees 9 X upon 10. Then next we find out the selling price of the table at 10% gain is given by rupees now we would be using this formula so substituting the value for gain percent in this and CP we get the selling price would be equal to 100 plus 10 upon 100 into the cost price that is X and this is equal to rupees 11 upon 10 into X that is 11 X upon 10. Now since it's given that a dealer gets rupees 500 more if instead of selling the table at loss of 10% he had sold it for gain of 10% so this means that the selling price of the table at 10% gain that is rupees 11 X upon 10 minus the selling price of the table at 10% loss that is rupees 9 X upon 10 is equal to rupees 500 this means we have 2 X upon 10 is equal to 500 that is we get 2 X is equal to 5000 and for here we have X is equal to 5000 upon 2 which is equal to rupees 2500 and we had assumed X to be the cost price of the table and so cost price of the table is equal to rupees 2500 hence a final answer is rupees 2500 so this completes the session hope you have understood the solution for this question