When a “Mercedes-Benz” is sold for Rs. 18,700, the owner loses 15%. At what price must that “Mercedes-Benz” be sold in order to gain 15%?
Question
When a “Mercedes-Benz” is sold for Rs. 18,700, the owner loses 15%. At what price must that “Mercedes-Benz” be sold in order to gain 15%?
Solution 1
Sure, let's solve this step by step:
Step 1: First, we need to find the cost price of the Mercedes-Benz. If the owner loses 15% when selling it for Rs. 18,700, that means Rs. 18,700 is 85% of the cost price (because 100% - 15% = 85%).
So, we can set up the equation: 85/100 * Cost Price = Rs. 18,700
Step 2: Solve the equation for Cost Price: Cost Price = Rs. 18,700 / (85/100) = Rs. 22,000
Step 3: Now, to find the selling price that would give a 15% gain, we calculate 15% of the cost price and add it to the cost price.
15% of Rs. 22,000 = 15/100 * 22,000 = Rs. 3,300
So, the selling price for a 15% gain would be: Cost Price + 15% of Cost Price = Rs. 22,000 + Rs. 3,300 = Rs. 25,300
Therefore, the Mercedes-Benz must be sold for Rs. 25,300 to gain a profit of 15%.
Solution 2
Step 1: First, we need to find the cost price of the Mercedes-Benz. If the owner loses 15% when selling it for Rs. 18,700, that means Rs. 18,700 is 85% of the cost price (because 100% - 15% = 85%).
Step 2: To find the cost price, we can set up the equation: 85/100 * Cost Price = Rs. 18,700. Solving for Cost Price, we get Cost Price = Rs. 18,700 / (85/100) = Rs. 22,000.
Step 3: Now, to find the selling price that would give the owner a 15% gain, we calculate 15% of the cost price, which is 15/100 * Rs. 22,000 = Rs. 3,300.
Step 4: Finally, we add this to the cost price to find the selling price for a 15% gain. So, the selling price should be Rs. 22,000 + Rs. 3,300 = Rs. 25,300.
Solution 3
Sure, let's solve this step by step:
Step 1: First, we need to find the cost price of the Mercedes-Benz. If the owner loses 15% when the car is sold for Rs. 18,700, that means Rs. 18,700 is 85% of the cost price (because 100% - 15% = 85%).
So, we can set up the equation: 85/100 * Cost Price = Rs. 18,700
Step 2: Solve the equation for Cost Price: Cost Price = Rs. 18,700 / (85/100) = Rs. 22,000
Step 3: Now, to find the price to sell the car for a 15% gain, we calculate 15% of the cost price and add it to the cost price.
15% of Rs. 22,000 = 15/100 * 22,000 = Rs. 3,300
So, the selling price for a 15% gain would be: Cost Price + 15% of Cost Price = Rs. 22,000 + Rs. 3,300 = Rs. 25,300
Therefore, the Mercedes-Benz must be sold for Rs. 25,300 to gain a profit of 15%.
Solution 4
Sure, let's solve this step by step.
Step 1: First, we need to find the cost price of the Mercedes-Benz. If the owner loses 15% when selling it for Rs. 18,700, that means Rs. 18,700 is 85% of the cost price (because 100% - 15% = 85%).
So, we can set up the equation: 85/100 * Cost Price = Rs. 18,700
Step 2: Solve the equation for Cost Price: Cost Price = Rs. 18,700 / (85/100) = Rs. 22,000
Step 3: Now, to find the price to sell it at for a 15% gain, we calculate 15% of the cost price and add it to the cost price.
15% of Rs. 22,000 = 15/100 * 22,000 = Rs. 3,300
So, the selling price for a 15% gain would be: Cost Price + 15% of Cost Price = Rs. 22,000 + Rs. 3,300 = Rs. 25,300
Therefore, the Mercedes-Benz must be sold for Rs. 25,300 to gain a profit of 15%.
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