Venkat bought a second-hand scooter and spent 10% of the cost on its repairs. He sold the scooter for a profit of ₹2,200. How much did he spend on repairs if he made a profit of 20%?

Explanation

Let's go through the solution carefully to find the correct answer, which is ₹1,000. Step 1: Let the original cost price of the scooter be x . Step 2: Venkat spent 10% of the original cost on repairs. Therefore, the amount spent on repairs is: 0.1x Step 3: The total cost price (original cost + repairs) becomes: Total Cost = x + 0.1x = 1.1x Step 4: Venkat sold the scooter for a profit of ₹2,200, which represents a 20% profit on the total cost. This means that 20% of the total cost price (1.1x) is equal to ₹2,200. Step 5: Set up the equation based on the profit percentage: 0.2 * 1.1x = 2,200 Step 6: Solve for x : 0.22x = 2,200 x = 2,200 / 0.22 x = 10,000 Step 7: Calculate the amount spent on repairs, which is 10% of the original cost: Repairs = 0.1 * 10,000 = 1,000 Answer: Venkat spent ₹1,000 on repairs.