Multiple choice

A man is two times as efficient as a woman. A child in a day does half of a woman’s work. An organizer for an event employs 42 pairs of hands such that men, women and children are in the ratio 6:5:3. The amount given for their work for a day is Rs. 2220. Find the daily wage of a woman, assuming wage is proportional to amount of work done.

  1. 24

  2. 32

  3. 36

  4. 40

  5. 42

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First, establish relative efficiencies: if woman does 1 unit of work per day, then man does 2 units (twice as efficient) and child does 0.5 units (half of woman's work). Total people = 42, in ratio 6:5:3, so men:women:children = 18:10:14. Total work units per day = 18×2 + 10×1 + 14×0.5 = 36 + 10 + 7 = 53 units. Women contribute 10 units out of 53, so their share = (10/53) × 2220 = Rs. 418.87. But 10 women share this, so each woman gets Rs. 41.89. This rounds to approximately Rs. 40, which matches option D.