Question
Download Solution PDFA trader allows a discount of 20% on the marked price. He still has a profit of 44% on the cost price. Find the profit % if he sells at the marked price.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Discount on marked price = 20%
Profit on cost price = 44%
Formula used:
Let the cost price be ₹C and the marked price be ₹M.
Selling price after discount = M - 20% of M = 0.80M
Since profit is 44% on cost price,
Selling price = C + 44% of C = 1.44C
From the given information:
1.44C = 0.80M
⇒ M = 1.44C / 0.80
⇒ M = 1.8C
If the trader sells at the marked price, the profit percentage is calculated as:
Profit = Marked price - Cost price
Profit percentage = (Profit / Cost price) * 100
⇒ Profit percentage = ((M - C) / C) * 100
⇒ Profit percentage = ((1.8C - C) / C) * 100
⇒ Profit percentage = (0.8C / C) * 100
⇒ Profit percentage = 80%
∴ The profit percentage if he sells at the marked price is 80%.
Last updated on Jun 11, 2025
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