CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
A factory's 12 machines produce 3,600 units in 15 days working at the same rate. How many units will 20 such machines produce in 9 days?
The 20 machines will produce 3,600 units. Output is proportional to machines and days, so the multiplier is 20/12 times 9/15, which equals 1. Output therefore stays at 3,600 units.
- A3,600 unitsCorrect
- B4,000 units
- C3,000 units
- D4,320 units
Explanation
Output varies directly with machines and days. Units = 3,600 × (20/12) × (9/15) = 3,600 × 5/3 × 3/5 = 3,600. Option 4,320 results from ignoring the reduction in days incorrectly.
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