Ravi purchased 25 dozens of goods at the rate of ₹3,750 per dozen. He sold…
2026
Ravi purchased 25 dozens of goods at the rate of ₹3,750 per dozen. He sold each one of them at the rate of ₹330. What was his percentage profit?
Answer: B. 5.6% — Concept. Profit percentage is always measured against the cost price, never against the selling price: Profit% = ((SP − CP) ÷ CP) × 100. When goods are bought…
- A.
8.6%
- B.
5.6%
- C.
7.5%
- D.
6.5%
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Show answer & explanation
Correct answer: B
Concept. Profit percentage is always measured against the cost price, never against the selling price: Profit% = ((SP − CP) ÷ CP) × 100. When goods are bought in one unit (a dozen) and sold in another (a single article), both sides must first be brought to the same basis — either both as totals, or both per article — before the ratio is formed.
Application.
Total cost price = 25 dozens × ₹3,750 per dozen = ₹93,750.
Number of articles = 25 × 12 = 300.
Total selling price = 300 × ₹330 = ₹99,000.
Profit = ₹99,000 − ₹93,750 = ₹5,250.
Profit percentage = (5,250 ÷ 93,750) × 100 = 5.6%.
Cross-check (per-article basis). Cost of one article = ₹3,750 ÷ 12 = ₹312.50, so profit on one article = ₹330 − ₹312.50 = ₹17.50, and (17.50 ÷ 312.50) × 100 = 5.6% — the same figure, which confirms the totals route.
Common slip. Dividing the ₹5,250 profit by the ₹99,000 selling price gives about 5.3%. Profit percentage is reckoned on cost, so ₹93,750 is the correct base.