Question
Download Solution PDFA shopkeeper allows 20 percent discount on the marked price of an article and he suffers a loss of 5 percent. If the article is sold at marked price, then what will be the profit percentage?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Discount = 20%
Loss = 5%
Concept Used:
\({MP\over CP} = \frac{(100 ± Profit%/Loss%)}{(100 - Discount%)}\)
Calculation:
Using the formula,
\({MP\over CP} = \frac{(100 - Loss%)}{(100 - Discount%)}\)
\({MP\over CP} = \frac{(100 - 5)}{(100 - 20)}\)
\({MP\over CP} = \frac{95}{80} = \frac{19}{16}\)
If there is no discount, means discount = 0%, then profit%
\({MP\over CP} = \frac{(100 + Profit%)}{(100 - Discount%)}\)
\({19\over 16} = \frac{(100 + Profit%)}{(100 - 0)}\)
\({19\over 16} = \frac{(100 + Profit%)}{100}\)
\(19 × 100 = 16(100 + Profit%)\)
1900 = 1600 + 16 × Profit%
16 × Profit% = 1900 - 1600 = 300
Profit% = 18.75%
Therefore, if the article is sold at the marked price, the shopkeeper will make a profit of approximately 18.75%.
∴ Option 3 is the correct answer.
Last updated on Jul 18, 2025
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