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CAT 1999 — QA Question 8

PercentageEasy

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

Answer & solution

  • A

    211

  • B

    14

  • C

    13

  • 34

Solution

Men      Women
40%      60%

Out of 40% men, 75% earn more than Rs. 25,000.

Hence, 30% of the company (men) earn more than Rs. 25,000.

But, in all 45% of the employees earn more than Rs. 25,000.

Hence, among women 15% earn more than Rs. 25,000 and the remaining (60 – 15)% earn less than or equal to Rs. 25,000.

Therefore, the fraction of women = 4560=34

Hence, option (d).

CAT 1999 QA Q8: Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs. 25,000 per — Solution | TheCATExam