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4024/22 May/Jun 2022, Question 1: Profit and Loss

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 10 marks

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The question, in short

Work with postage costs: convert letter costs to dollars, find a percentage increase, compare two companies' spending with a discount, and calculate parcel costs including a mass-based rate and a percentage increase.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (ai) · 1 mark

Find the total cost in dollars of posting 1950 letters at 84 cents each.

  1. 11950 × 84 = 163 800 cents
  2. 2= $1638.00

Answer1638.00

Part (aii) · 2 marks

Calculate the percentage increase when the letter cost rises from 84 cents to 96 cents.

  1. 1Increase = 96 − 84 = 12 cents
  2. 212/84 × 100 = 14.28… ≈ 14.3%

Answer14.3 or 14.28 to 14.29

Part (b) · 3 marks

With 96 cents per letter and a 15% discount above $1000, find how many letters Company B posts if it spends the same as Company A's 1200 letters.

  1. 1Company A: 1200 × 0.96 = $1152, more than $1000 so 15% off
  2. 21152 × 0.85 = $979.20
  3. 3Company B (no discount): 979.20 ÷ 0.96
  4. 4= 1020 letters

Answer1020

Part (c) · 2 marks

Find the cost of posting a 3.5 kg parcel when 1 kg or less costs $4.60 and each extra 0.5 kg adds $1.10.

  1. 1Extra mass = 3.5 − 1 = 2.5 kg = 5 lots of 0.5 kg
  2. 2Extra cost = 5 × 1.10 = $5.50
  3. 3Cost = 4.60 + 5.50 = $10.10

Answer10.10

Part (d) · 2 marks

After a 7.2% increase the parcel cost is $13.40; calculate the original cost.

  1. 1New cost = 107.2% of original
  2. 2Original = 13.40 ÷ 1.072
  3. 3= $12.50

Answer12.50

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Also searched as: 4024/22/M/J/22 · 4024_s22_qp_22 · 4024 s22 22 · question 1.
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