Question

On a construction site, men, women and children are working in the ratio of 9 : 4 : 1. Their wages arc in the ratio of 8 : 5 : 3. If 60 women are working on this site, then total daily wages of all persons is 2,850. Daily wages of a child is equal to

Answer 1

$\textbf {Hey there, here is the solution.}$

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Find the number of workers:

Ratio = Men : Women : Children = 9 : 4 : 1 (Given)

Let the constant ratio be x

4x = 60

x = 15

.

Men = 9x = 9(15) = 135

Children = 1(15) = 15

Men : Women : Children = 135 : 60 : 15

.

Ratio of the wages : Men : Women : Children = 8 : 5 : 3 (Given)

.

Find the wages of a child:

Let y be the constant ratio:

135 x 8 x y + 60 x 5 x y + 15 x 3 x y = 2850

1080y + 300y + 45y = 2850

1425y = 2850

y = 2

.

Child = 3y = 3(2) = Rs 6

.

Answer: The daily wage of a child is Rs 6

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⭐$\textbf {Cheers @ Simmisai}$⭐