Multiple choice

4 men and 6 women can complete a piece of work in 8 days. The same work can be completed by 6 men and 4 women in 7 days. If the daily wage of a woman is Rs. 20, then what would be the weekly wage of a man?

  1. Rs. 40

  2. Rs. 120

  3. Rs. 220

  4. Rs. 280

  5. Rs. 360
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let M and W be daily wages. 8(4M + 6W) = 7(6M + 4W). 32M + 48W = 42M + 28W. 10M = 20W. Since W = 20, 10M = 400, so M = 40. Weekly wage of a man = 40 * 7 = 280.

AI explanation

Let m be a man's daily work and w be a woman's daily work. The equations are 4m + 6w = 1/8 and 6m + 4w = 1/7. Solving these equations yields the ratio of m to w as 2:1. Since a woman's daily wage is Rs. 20, a man's daily wage is Rs. 40. A weekly wage is for 7 days, so 40 * 7 = Rs. 280.

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