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0580/33 May/Jun 2021, Question 7: Dividing in a Given Ratio

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 8 marks

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The question, in short

Rita and Henry share profit and make investments; calculate shares, compound interest, a rate, and an error interval for a rounded cost.

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

Part (a) · 2 marks

Profit $2 400 000 shared in ratio 3:5; calculate Rita's share.

  1. 1Total parts = 3 + 5 = 8
  2. 2Rita = 2 400 000 ÷ 8 × 3 = $900 000

Answer900000

Part (b) · 2 marks

Find the value of $160 000 invested at 2.5% per year compound interest after 3 years.

  1. 1Value = 160 000 × (1 + 2.5/100)³
  2. 2= 160 000 × 1.025³ = $172 302.50

Answer172 302.50

Part (c) · 2 marks

$12 000 grows to $12 408 in one year at r% per year; find r.

  1. 1Interest = 12 408 − 12 000 = 408
  2. 2r = 408/12 000 × 100 = 3.4

Answer3.4

Part (d) · 2 marks

Cost $c is $10 800 to the nearest hundred dollars; complete the inequality for c.

  1. 1Half of 100 is 50
  2. 210 800 − 50 = 10 750 and 10 800 + 50 = 10 850
  3. 310 750 ≤ c < 10 850

Answer10 750 ≤ c < 10 850

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Also searched as: 0580/33/M/J/21 · 0580_s21_qp_33 · 0580 s21 33 · question 7.
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