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 .… — Answer & Discussion

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.

ARs. 10.5
BRs. 8
CRs. 9
DRs. 21

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Discussion 1

CCommunity13 Jun 2019

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