Question
Download Solution PDFA shopkeeper buys some fruits at a discount of 10% on the marked price. For selling the item he increases the marked price. If he wants to get a profit of 25% after allowing a discount of 15%, then by what percentage should his marked price be greater than the original marked price? (Correct to a nearest whole number)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Initial discount (D1) = 10%
Profit (P) = 25%
Final discount (D2) = 15%
Formula:
Percentage increase in marked price = ((100 + P)% × (100 - D1)%) × (100/(100 - D2)) × 100
Solution:
⇒ Percentage increase = ((100 + 25)/100 × (100 - 10)/100) × (100/(100 - 15)) × 100
⇒ Percentage increase = (125/100 × 90/100) × (100/85) × 100
⇒ Percentage increase = 32.5 ≈ 32%
Therefore, the marked price should be 32% greater than the original marked price.
Last updated on Jul 8, 2025
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