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The cost of 25 items is the same as the revenue by selling X items. Find X, if the profit made in the transaction is 25%?Options25203216.67

Question

The cost of 25 items is the same as the revenue by selling X items. Find X, if the profit made in the transaction is 25%?Options25203216.67

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Solution

Let's solve this step by step:

  1. Let's assume the cost price of one item is C and the selling price of one item is S.

  2. According to the problem, the cost of 25 items is the same as the revenue from selling X items. So, we can write this as: 25C = XS.

  3. We also know that the profit made in the transaction is 25%. Profit is calculated as the selling price minus the cost price. So, we can write this as: S = C + 0.25C = 1.25C.

  4. Now, we can substitute S from step 3 into the equation from step 2: 25C = X(1.25C).

  5. Solving for X, we get X = 25/1.25 = 20.

So, the answer is 20.

This problem has been solved

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