CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
At Gupta Mills, 12 workers complete an order in 15 days. Because of a deadline change, the order must be finished in 9 days, with every worker working at the same rate. How many additional workers are needed?
Eight additional workers are needed. Workers and days are inversely related, so total work is 12 × 15 = 180 worker-days. Finishing in 9 days needs 180/9 = 20 workers, which is 8 more than the existing 12.
- A8Correct
- B20
- C18
- D6
Explanation
Workers vary inversely with days, so workers × days is constant: 12 × 15 = 180. For 9 days, workers = 180/9 = 20. Additional workers = 20 − 12 = 8. The option 20 is wrong because it gives the total, not the additional number.
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