e correct answerThe 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%?
Question
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%?
Solution
Let's break this down:
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Let's assume the cost price of one item is C. Therefore, the cost price of 25 items is 25C.
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The revenue from selling X items is also 25C.
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The profit made in the transaction is 25%. This means that the selling price is 125% of the cost price. We can express this as 1.25C.
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Since the revenue (which is the selling price times the number of items sold) is equal to the cost price of 25 items, we can set up the following equation:
1.25C * X = 25C
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To solve for X, we divide both sides of the equation by 1.25C:
X = 25C / 1.25C
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The C's cancel out, leaving us with:
X = 25 / 1.25
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Solving this gives us X = 20.
So, if the profit made in the transaction is 25%, 20 items need to be sold to generate the same revenue as the cost of 25 items.
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