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

  1. A.25.23%
  2. B.31.34%
  3. C.88.81%
  4. 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:

  1. Total cost price: CP = 9,200 + 1,500 = ₦10,700
  1. Gain: Gain = 13,400 − 10,700 = ₦2,700
  1. 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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