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%?Rs. 21,000
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%?Rs. 21,000
Solution
First, we need to find the original price of the Mercedes-Benz. If the owner loses 15% and sells it for Rs. 18,700, that means Rs. 18,700 is 85% of the original price (because 100% - 15% = 85%).
So, we set up the equation: 0.85 * Original Price = Rs. 18,700
To find the original price, we divide Rs. 18,700 by 0.85, which gives us approximately Rs. 22,000.
Now, to find the price to sell it at a gain of 15%, we calculate 15% of the original price, which is 0.15 * Rs. 22,000 = Rs. 3,300.
Finally, we add this to the original price to find the new selling price: Rs. 22,000 + Rs. 3,300 = Rs. 25,300.
So, the Mercedes-Benz must be sold for Rs. 25,300 to gain a profit of 15%.
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