Shweta 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?2533.3366.66740
Question
Shweta 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?2533.3366.66740
Solution
To solve this problem, we need to first understand the terms used:
- Listed Price: This is the original price of the product without any discounts.
- Cost Price: This is the price at which Shweta buys the product, which is after a 25% discount on the listed price.
- Selling Price: This is the price at which Shweta sells the product. We need to find this as a percentage over the cost price.
Let's assume the listed price of the product is $100.
Step 1: Calculate the Cost Price Shweta buys the product at a 25% discount. So, the cost price would be 100 - 25% of 100 = $75.
Step 2: Calculate the Profit Shweta wants to make a 25% profit over the listed price. So, the profit would be 25% of 100 = $25.
Step 3: Calculate the Selling Price The selling price would be the cost price plus the profit. So, the selling price would be 75 + 25 = $100.
Step 4: Calculate the percentage over the Cost Price Now, we need to find out how much percentage the selling price is over the cost price. The formula to calculate this is ((Selling Price - Cost Price) / Cost Price) * 100.
So, the percentage over the cost price would be ((100 - 75) / 75) * 100 = 33.33%.
Therefore, Shweta should sell the product at 33.33% over the cost price to make an overall 25% profit over the listed price.
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