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0580/43 Oct/Nov 2024, Question 1: Dividing in a Given Ratio

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 9 marks

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The question, in short

Dinari sells fruit and vegetables. Work with ratios of masses and money, and calculate percentage profit and cost price from selling price and profit.

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

Part (a) · 2 marks

Fruit to vegetables mass ratio is 9:8 and vegetables sold are 48 kg. Find the mass of fruit sold.

  1. 11 part = 48 ÷ 8 = 6 kg
  2. 2Fruit = 9 × 6 = 54 kg

Answer54

Part (b) · 3 marks

Total received is $280, split fruit:vegetables as (c+3):(c−1). Find the amount from fruit.

  1. 1(c + 3) + (c − 1) = 280
  2. 22c + 2 = 280, so 2c = 278
  3. 3c = 139
  4. 4Fruit = c + 3 = $142

Answer142

Part (c) · 2 marks

Buys fruit and vegetables for $1620 and sells for $1750. Calculate the percentage profit.

  1. 1Profit = 1750 − 1620 = $130
  2. 2130 ÷ 1620 × 100 = 8.02%

Answer8.02 or 8.024 to 8.025

Part (d) · 2 marks

Sells fruit and vegetables for $1738 at 10% profit. Calculate the amount paid.

  1. 11738 is 110% of the cost
  2. 2Cost = 1738 ÷ 1.1 = $1580

Answer1580

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Also searched as: 0580/43/O/N/24 · 0580_w24_qp_43 · 0580 w24 43 · question 1.
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