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Select the correct answerShweta buys a product at 25% discount rate. At what % over the cost price should she sell the product to make an overall 25% profit over the listed price?Options66.6676070None of these

Question

Select the correct answerShweta buys a product at 25% discount rate. At what % over the cost price should she sell the product to make an overall 25% profit over the listed price?Options66.6676070None of these

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Solution

To solve this problem, we first need to understand that the discount and profit percentages are calculated on the listed price (also known as the marked price).

Let's assume the listed price of the product is $100.

  1. Shweta buys the product at a 25% discount. So, she pays 75% of the listed price. That is, 75% of 100=100 = 75. This is her cost price.

  2. She wants to make a 25% profit over the listed price. So, she wants to make a profit of 25% of 100=100 = 25.

  3. Therefore, she needs to sell the product for the cost price (75)plustheprofit(75) plus the profit (25). That is, 75+75 + 25 = $100.

  4. To find out at what percentage over the cost price she should sell the product, we calculate the difference between the selling price and the cost price, divided by the cost price, times 100%. That is, ((100−100 - 75) / $75) * 100% = 33.33%.

So, none of the options provided (66.667, 60, 70) are correct. The correct answer is 33.33%.

This problem has been solved

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