Question:
By selling 33 metres of cloth, a shopkeeper gains the price of 11 metres of cloth. His gain percent is
By selling 33 metres of cloth, a shopkeeper gains the price of 11 metres of cloth. His gain percent is
Updated On: Oct 1, 2024
- 7\(\%\)
- 50\(\%\)
- 20\(\%\)
- 22\(\%\)
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The Correct Option is B
Solution and Explanation
The correct option is (B): 50\(\%\)
Explanation:
Let CP of 1 m of cloth = Rs. \(x\) and SP = Rs. \(y\)
Profit on selling 1 m cloth = Rs. (y - x)
According to ques,
⇒ 33(\(y\) - \(x\)) = 11\(y\)
⇒ З\(y\) - 3\(x\) =\(y\)
⇒\(2y=3x\)
⇒\(\frac{x}{y}=\frac{2}{3}\)
Let \(x\) = 2 and \(y\) = 3
\(\therefore\) Profit \(\%\) = \(\frac{y-x}{x}\times100\)
\(=\frac{3-2}{2}\times100\)
\(=50\%\)
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