Multiple choice

Men, women and children are employed to work in the proportion of 3 : 2 : 1 and their wages are in the ratio of 5 : 3 : 2. When 90 men are employed, total daily wages of all amount to Rs. 10350. Find the daily wage of one man.

  1. Rs. 115

  2. Rs. 75

  3. Rs. 45

  4. Rs. 57.50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let number of men, women, children be 3x, 2x, x. Given 3x = 90, so x = 30. Number of women = 60, children = 30. Wages ratio 5:3:2 implies wages are 5y, 3y, 2y. Total wages = 90(5y) + 60(3y) + 30(2y) = 10350. 450y + 180y + 60y = 690y = 10350. y = 15. Man's wage = 5y = 75.

AI explanation

Using the given ratios, the number of men, women, and children is 3x, 2x, and 1x, which equals 90, 60, and 30 when x = 30. The total wages are 5y, 3y, and 2y per person respectively, meaning the daily wage totals are 450y for men, 180y for women, and 60y for children. The equation 450y + 180y + 60y = 10350 simplifies to 690y = 10350, giving y = 15. The daily wage of one man is 5y, which is 5 * 15 = Rs. 75.

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