Multiple choice

2 men and 1 woman can do a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 360 per day, then how much a woman will get per day?

  1. 150

  2. 140

  3. 120

  4. 160

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

Let 1 man's work = m, 1 woman's = w. From first scenario: 2m + w = 1/14. From second: 2m + 4w = 1/8. Subtracting: 3w = 1/8 - 1/14 = 3/56, so w = 1/56. Then 2m = 1/14 - 1/56 = 3/56, so m = 3/112. Ratio m:w = 3/112 : 1/56 = 3:2. If man gets Rs. 360, woman gets 360 × 2/3 = Rs. 120.