Men, women, and children are employed to do work in the proportion of 1 ∶ 2 ∶ 3 and their daily wages are in the proportion of 6 ∶ 3 ∶ 2 . When 50 men are employed, the total wages of all the persons amount to Rs 450. Find the weekly wages paid to a man.
1). Rs. 10.5
2). Rs. 8
3). Rs. 9
4). Rs. 21
Men ? Women ? Children = 1 ? 2 ? 3
But number of men = 50
∴ No of women = 2 x 50 = 100
No. of children = 3 x 50 = 150
Now, Ratio of wages = 6 ? 3 ? 2
If a man gets Rs.6, woman gets Rs.3 and child gets Rs.2
∴ Total wages received by all = 50 x 6 + 100 x 3 +150 x 2 = 900
If total wages are Rs . 900, a man gets Rs. 6
If total wages are Rs 450, man’s wage = (450/900) × 6 = Rs. 3
∴ Weekly wages of a man = 7 x 3 = Rs. 21