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CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms

The monthly wages of 12 workers at a factory in Pune total ₹1,80,000. A contractor wants to hire 18 workers on the same pay basis per worker. If wages are directly proportional to the number of workers, what will be the total monthly wage bill?

The total wage bill will be ₹2,70,000. Each worker earns ₹15,000 (₹1,80,000 divided by 12), and wages vary directly with the number of workers, so 18 workers cost 18 times ₹15,000, which is ₹2,70,000.

  1. A₹2,40,000
  2. B₹2,70,000Correct
  3. C₹2,25,000
  4. D₹1,20,000

Explanation

Wage per worker = 1,80,000 / 12 = ₹15,000. For 18 workers, the bill is 18 × 15,000 = ₹2,70,000. Check: ratio 18/12 = 1.5 and 1,80,000 × 1.5 = 2,70,000. The option ₹1,20,000 wrongly inverts the ratio.

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