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
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%.
Similar Questions
When a plot is sold for Rs.18,700, the owner loses 15%.At what price must that plot be sold in order to gain 15%?
the correct answerThe cost price of 18 articles is equal to the selling price of 15 articles. The gain percent is?
If an object is bought for Rs 90 and then sold at a loss of 15%, how much was it sold for
Marked price is 1.45 times of cost price. Selling price is Rs1500. The profit is 25%. Find the discount percentage.(a) 14%(b) 15%(c) 16%
A car's price increased from $15,000 to $18,000. What is the percentage increase in the car's price?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.