Multiple choice

In a factory, men, women and children were employed in the ratio 8 : 5 : 1 to finish a job and their individual wages were in the ratio 5 : 2 : 3. When 20 women were employed, the total daily wages of them all amounted to Rs. 318. Find the total daily wages paid (in rupees) to each category, respectively.

  1. 210, 70 and 38

  2. 240, 60 and 18

  3. 200, 90 and 28

  4. Cannot be determined
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B Correct answer
Explanation

Given the ratio of men, women, and children as 8:5:1 and 20 women, the multiplier is 4. Thus, there are 32 men, 20 women, and 4 children. With wage ratios 5:2:3, let wages be 5x, 2x, and 3x; total daily wage = 32(5x) + 20(2x) + 4(3x) = 160x + 40x + 12x = 212x = 318, so x = 1.5. Total wages are 240, 60, and 18.

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