JAMB 2023 Mathematics · Question 39
Bello buys an old bicycle for ₦9,200.00 and spends ₦1,500.00 on its repairs. If he sells the bicycle for ₦13,400.00, his gain percent is
Options
- A.25.23%
- B.31.34%
- C.88.81%
- D.42.54%
Answer: A. 25.23%
Explanation written with AI and checked against the answer key
Analyze the question: Bello buys a bicycle, spends extra money repairing it, then sells it. We need his gain percent. The key point is that the repair cost is part of his total cost.
Concept:
- Cost Price (CP) = purchase price + repair costs
- Gain = Selling Price − Cost Price
- Gain % = (Gain ÷ Cost Price) × 100
Solution:
- Total cost price: CP = 9,200 + 1,500 = ₦10,700
- Gain: Gain = 13,400 − 10,700 = ₦2,700
- Gain percent: Gain % = (2,700 ÷ 10,700) × 100 = 0.25233 × 100 ≈ 25.23%
Check: 10,700 × 0.25 = 2,675, and the remaining 25 is about 0.23% of 10,700, so 25.23% is correct.
Answer: A (25.23%)
Tip: Always add repair or transport costs to the purchase price before calculating profit or loss. Option C (88.81%) is a trap: it comes from wrongly using a different base. Percentage gain is always based on the cost price, not the selling price.
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