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? 5 पुरुष और 7 लड़के एक काम को 10 दिन में कर सकते हैं तथा 4 पुरुष और 7 लड़के उसी काम को 12 दिन में कर सकते हैं | यदि एक आदमी की दैनिक मजदूरी 140 रु. है, तो 3 पुरुष और 4 लड़कों की दैनिक मजदूरी कितनी है?

  1. Rs. 420/ 420 रूपये

  2. Rs. 480/ 480 रूपये

  3. Rs. 560/ 560 रूपये

  4. Rs. 500/500 रूपये
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D Correct answer
Explanation

Let 1 man's work = m, 1 boy's work = b. From equations: 5m+7b = 1/10, 4m+7b = 1/12. Subtracting: m = 1/10 - 1/12 = 1/60. So 7b = 1/10 - 5/60 = 1/60, so b = 1/420. Daily wages: 1 man = Rs.140, so 3 men = Rs.420. 4 boys' wages = 4 × (140/60) × (1/7) ≈ Rs.80. Total = Rs.500. Alternatively: wage ratio matches work ratio, so 3m+4b wages = 140×3 + 140×(1/60)/(1/420)×4 = 500.

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