Question : A cloth merchant sells 33 metres of cloth and realizes a profit equal to the selling price of 11 metres of cloth. Determine the profit percentage.
Option 1: 40%
Option 2: 22%
Option 3: 50%
Option 4: 11%
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Correct Answer: 50%
Solution :
Given: On selling 33 metres of cloth, obtained profit = the selling price of 11 metres of cloth
Let the selling price of one-metre cloth be $a$.
Profit = $11a$
Selling price (SP) = $33a$
Cost price (CP) = SP – Profit = $33a-11a$ = $22a$
Profit percentage $=\frac{\text{Profit}}{\text{CP}}×100=\frac{11a}{22a}×100=50\%$
Hence, the correct answer is 50%.
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