Question
Download Solution PDFWhat percent more than the cost price should a shopkeeper keep the marked price of his goods so that after giving a discount of 8% on the marked price, he still gets a profit of 15%?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost Price (CP) = ₹100 (assumed)
Profit = 15%
Discount = 8%
Formula used:
Selling Price (SP) = CP + Profit
Marked Price (MP) = SP / (1 - Discount)
Calculation:
SP = 100 + 15
⇒ SP = 115
MP = 115 / (1 - 0.08)
⇒ MP = 115 / 0.92
⇒ MP ≈ 125
Percentage increase in MP over CP = ((125 - 100) / 100) × 100
⇒ Percentage increase ≈ 25%
∴ The correct answer is option (2).
Last updated on Jul 17, 2025
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