WAEC 2022 Mathematics · Question 39

A weaver bought a bundle of grass for 50.00fromwhichhemade8mats.Ifeachmatwassoldfor 50.00 from which he made 8 mats. If each mat was sold for 15.00, find the percentage profit.

Options

  1. A.240%
  2. B.140%
  3. C.120%
  4. D.40%

Answer: B. 140%

Explanation written with AI and checked against the answer key

Analyze the question: We need the percentage profit. Cost price is 50.00,andhesells8matsat50.00, and he sells 8 mats at 15.00 each.

Concept:

  • Profit = Selling Price − Cost Price
  • Percentage Profit = (Profit ÷ Cost Price) × 100%

Solution:

  1. Total selling price = 8 × 15.00=15.00 = 120.00
  2. Profit = 120.00−120.00 − 50.00 = $70.00
  3. Percentage profit = (70 ÷ 50) × 100% = 140%

Answer: B. 140%

Tip: Percentage profit is always calculated on the cost price, not the selling price. A common mistake is to pick 240% (which is 120/50 × 100, the selling price over cost price) because the student forgot to subtract the cost. Always find the profit first.

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