A shopkeeper sells an article for ₹ 324 after giving a discount of 28% on its…
2024
A shopkeeper sells an article for ₹ 324 after giving a discount of 28% on its marked price. The cost price of the article is ₹ 300. If he sells the article by giving 18% discount on its same marked price, then what will be his profit percent?
- A.
10%
- B.
19%
- C.
23%
- D.
24%
Show answer & explanation
Correct answer: C
Concept: For a discount problem, Selling Price = Marked Price × (1 − discount%). Profit is always measured against the Cost Price, not the Selling Price: Profit% = [(Selling Price − Cost Price) / Cost Price] × 100.
Use the first sale to find the Marked Price (MP): SP₁ = MP × (1 − 0.28) → 324 = MP × 0.72 → MP = ₹450.
Apply the second discount (18%) to the SAME Marked Price to get the new Selling Price: SP₂ = 450 × (1 − 0.18) = 450 × 0.82 = ₹369.
Find the profit against the Cost Price: Profit = SP₂ − CP = 369 − 300 = ₹69.
Profit% = (Profit / CP) × 100 = (69 / 300) × 100 = 23%.
Cross-check: CP × 1.23 = 300 × 1.23 = ₹369, which matches SP₂ exactly, confirming the profit percent.
Hence, the shopkeeper's profit percent is 23%.