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CAT 1994 — QA Question 8

Man Days (multiple groups of people)Easy
Passage / Data

Answer the next 3 questions based on the information given below:

Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; in his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighospur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighospur are 32 and 117 respectively.

One man can do as much work in one day as a woman can do in 2 days. A child does one third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the days work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?

Answer & solution

  • A

    Rs. 14

  • B

    Rs. 5

  • C

    Rs. 20

  • Rs. 7

Solution

There are 18 men, 15 women and 6 children.

Working efficiency of man : woman : child = 6 : 3 : 1.

So the ratio of the work done in a day by 18 men, 15 women and 6 children = (18 × 6) : (15 × 3) : (6 ×1) = 108 : 45 : 6.

Hence, the daily wage of Rs.1113 should be divided in this ratio. That makes it, Rs.756 for men, Rs.315 for women and Rs.42 for children.

Hence, 6 children earn Rs.42 in a day.

So the daily wage of a child should be Rs.7

Hence, option (d).

CAT 1994 QA Q8: One man can do as much work in one day as a woman can do in 2 days. A child does one third the work in a day a — Solution | TheCATExam