Multiple choice

5 men and 7 boys can do a piece of work in 10 days and 4 men and 7 boys can do it in 12 days. If the daily wages of a man is Rs.140, what is the daily wages of 3 man and 4 boys?

  1. Rs. 420

  2. Rs. 480

  3. Rs. 560

  4. Rs. 500
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let work done by 1 man in 1 day = m and 1 boy = b. From the given: 10(5m + 7b) = 12(4m + 7b) = W. Solving gives m = 0.1W and b = W/84. Total work W = 84 units. Daily wage for 1 man = Rs.140 corresponds to 0.1W work, so per unit wage = Rs.140/8.4. Daily wages of 3 men and 4 boys = 3m + 4b = 0.3W + 4W/84 = (0.3 + 4/84)W = Rs.500. Option D is correct.

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