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Percentages: Company Salary Distribution

CAT 1999 Slot 1 · Quantitative Ability · Medium · Arithmetic

This is a medium Quantitative Ability question from the CAT 1999 Slot 1 paper. It tests Arithmetic. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Forty per cent of the employees of a certain company are men, and 75%75\% of the men earn more than Rs. 25,000\text{Rs. } 25,000 per year. If 45%45\% of the company's employees earn more than Rs. 25,000\text{Rs. } 25,000 per year, what fraction of the women employed by the company earn less than or equal to Rs. 25,000\text{Rs. } 25,000 per year?

  1. A.

    2/11

  2. B.

    1/4

  3. C.

    1/3

  4. D.

    3/4

Answer

D

Explanation

Let total employees = 100100. Men = 4040, Women = 6060. Men earning >25000=75% of 40=30> 25000 = 75\% \text{ of } 40 = 30. Total earning >25000=45> 25000 = 45. So women earning >25000=45−30=15> 25000 = 45 - 30 = 15. Women earning ≤25000=60−15=45\le 25000 = 60 - 15 = 45. Fraction of women earning ≤25000=4560=34\le 25000 = \frac{45}{60} = \frac{3}{4}.

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