Question
Download Solution PDFA seller marked the price 25% more than its cost price. If he allows a discount of 42%, then find his loss percent
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFData:
Mark-up percentage (m) = 25%
Discount percentage (d) = 42%
Concept:
The final selling price is given by Selling_price = Cost_price × (1 + m/100) × (1 - d/100).
The loss percent is found by comparing the selling price to the cost price.
Solution:
Let's assume the cost price of the item is ₹100 (for ease of calculation).
Therefore, the marked price = cost price + 25% of cost price
⇒ Marked price = ₹100 + 25% of ₹100
⇒ Marked price = ₹125
The selling price after a 42% discount on the marked price = marked price - 42% of marked price
⇒ Selling price = ₹125 - 42% of ₹125
⇒ Selling price = ₹125 - ₹52.5 = ₹72.5
Now, calculate the loss percent as ((cost price - selling price) / cost price) × 100
⇒ Loss percent = ((₹100 - ₹72.5) / ₹100) × 100
⇒ Loss percent = 27.5%
Therefore, the seller incurs a loss of 27.5%.
Last updated on Jun 12, 2025
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