A woman can do as much work in one day as a man can do in 3 days. A child does half the work in a day as a woman. An estate-owner hires 30 people with men, women and children in the ratio 4 : 6 : 5. He pays them ₹ 1120 everyday. Find the daily wages of a child.
Explanation:
Number of hired men = 4/15 × 30 = 8 women = 6/15 × 30 = 12 children = 5/15 × 30 = 10
Let the efficiency of each man, woman and child be m, w and c units/day respectively.
Given, w = 3m and w = 2c ⇒ m : w : c = 2 : 6 : 3
Let’s assume m = 2, w = 6 and c = 2 units/day.
Total work done by men = 2 × 8 = 16 units/day women = 6 × 12 = 72 units/day children = 3 × 10 = 30 units/day
∴ Total work done in a day = 16 + 72 + 30 = 112 units/day
⇒ Fraction of work done by a child = 3112 th
∴ Payment received by each child/day = 3112 × 1120 = Rs. 30.
Hence, option (d).
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