Multiple choice

If the wages of $45$ women amount to $Rs. 15525$ in $48$ days, how many men must work $16$ days to receive $Rs. 5750$, the daily wages of a man being double that of a woman?

  1. $20\ men$
  2. $25\ men$
  3. $15\ men$
  4. $30\ men$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work = (M * D * W) / Wages. (45 * 48 * 1) / 15525 = (N * 16 * 2) / 5750. 2160 / 15525 = 32N / 5750. N = (2160 * 5750) / (15525 * 32) = 12420000 / 496800 = 25.

AI explanation

First, find the daily wage of one woman by dividing Rs. 15525 by the product of 45 women and 48 days, which equals Rs. 115/16. Since a man earns double this amount, the daily wage of a man is Rs. 115/8. To find the required number of men, divide the total wage of Rs. 5750 by the product of 16 days and the daily wage of Rs. 115/8. The calculation gives 5750 divided by 230, which equals 25 men.

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