In a certain company, 55% of the workers are men. If 30% of the workers are…

2024

In a certain company, 55% of the workers are men. If 30% of the workers are full-time employees and 60% of these are women, what percentage of the full-time workers in the company are men?

  1. A.

    40

  2. B.

    12

  3. C.

    55

  4. D.

    67

Attempted by 2017 students.

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Correct answer: A

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Solution (text version)

Key steps:

  • Take 100 employees as a convenient base.

  • Full-time workers = 30% of 100 = 30.

  • Full-time women = 60% of full-time = 0.60 × 30 = 18.

  • Full-time men = 30 − 18 = 12.

  • Percent of full-time workers who are men = (12 ÷ 30) × 100 = 40%.

Answer: 40%

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