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If profit as a percentage of the selling price is 18%, then what is the profit as a percentage of the cost price?21%21.95%22%22.5%

Question

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Solution

Let's solve this step by step:

  1. We know that Profit = Selling Price - Cost Price.

  2. Given that Profit is 18% of the Selling Price, we can write this as: Profit = 18/100 * Selling Price.

  3. We need to find the Profit as a percentage of the Cost Price. Let's express the Cost Price in terms of Selling Price using the first equation: Cost Price = Selling Price - Profit.

  4. Substituting the second equation into this, we get: Cost Price = Selling Price - (18/100 * Selling Price) = 82/100 * Selling Price.

  5. Therefore, Profit as a percentage of Cost Price = (Profit / Cost Price) * 100 = [(18/100 * Selling Price) / (82/100 * Selling Price)] * 100.

  6. Simplifying this, we get Profit as a percentage of Cost Price = 18/82 * 100 = 21.95%.

So, the profit as a percentage of the cost price is 21.95%.

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