 Hello and welcome to the session. In this session we are going to discuss the following question which says that a dealer buys an old car listed at $25,000 and gets successive discount of 10% and 4%. He spends some money on its repairs and sells it for $28,600 thereby gaining 12%. Find the amount spent by the dealer on repairs. Let us proceed with the solution. And the question says that the list price of the car is given as $25,000 with two successive discounts of 10% and 4%. Now the dealer spends some amount on its repairs and the selling price of the car is given as $28,600 thereby gaining 12%. We need to find the amount spent by the dealer on repairs. Now the list price of the car is given as $25,000 the first discount on $25,000 is at 10% We have 10% of $25,000 that is 10 upon 100 into $25,000 which is equal to $2,500. Therefore the reduced price will be $25,000 minus $2,500 which is equal to $22,500. Now the second discount is on $22,500 at 4% which is equal to 4% of $22,500 that is 4 by 100 into $22,500 which is equal to $900. Therefore the further reduced price would be $22,500 minus $900 which is equal to $21,600. Also selling price of the car is given as $28,600 and profit is given as 12%. When profit is given as 12% let cost price be equal to $100 then selling price is given by cost price plus profit which is equal to $100 plus 12 by 100 into $100 that is $112. So selling price is $112 when cost price is $100 when cost price is $100 upon $112 therefore selling price is $28,600 when cost price is $100 upon $112 into $28,600. Therefore cost price is given by $100 upon $112 into $28,600 which is equal to $25,535.71. Therefore amount spent on the repairs is equal to the cost price that is $25,535.71 minus the reduced price that is $21,600 which is equal to $3935.71 Hence the amount spent by the dealer on repairs $3935.71 which is the required answer. This completes our session. Hope you enjoyed this session.