Question : The cost price of 44 items is the same as the selling price of $x$ items. If the profit is 10%, then what is the value of $x$?
Option 1: 55
Option 2: 40
Option 3: 60
Option 4: 50
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Correct Answer: 40
Solution :
Cost price of 44 items = Selling price of $x$ items
Profit = 10%
Profit percentage = $\frac{\text{(Selling price – Cost price)}}{\text{Cost price}} \times 100$
$⇒ 10 =\frac{(44 - x)}{x} \times 100$
$⇒ x = 40$
Hence, the correct answer is 40.
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