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Question : By selling 24 items, a shopkeeper gains the selling price of 4 items. His gain percentage is:

Option 1: $16 \frac{1}{3} \%$

Option 2: $20 \%$

Option 3: $33 \frac{1}{3} \%$

Option 4: $16 \frac{2}{3} \%$


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: $20 \%$


Solution : The profit made by the shopkeeper is the selling price of 4 items.
If the shopkeeper sells 24 items, the profit is $\frac{4}{24} = \frac{1}{6}$ of the total selling price.
This means the cost price is $1 - \frac{1}{6} = \frac{5}{6}$ of the total selling price.
So, the gain percentage $=\frac{\frac{1}{6}}{\frac{5}{6}} \times 100 = 20\%$
Hence, the correct answer is $20\%$.

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