A company employed Male, Female and Child workers in the ratio 5:3:2 and their wages are in the ratio 7:5:3. The total weekly wage is Rs 28000. If the number of
child workers is 20, find the number of male and female workers and the wages per day for each worker. Assume the number of working days in a week is 5
Answers
Step-by-step explanation:
Given :-
A company employed Male, Female and Child workers in the ratio 5:3:2 and their wages are in the ratio 7:5:3. The total weekly wage is Rs 28000 and the number of child workers is 20.
To find :-
Find the number of male and female workers?
Find the wages per day for each worker?
(Assume the number of working days in a week is 5).
Solution:-
Given that :
The ratio of male , female and child workers in a company = 5:3:2
Let the number of male workers be 5X
Let the number of female workers be 3X
Let the number of child workers be 2X
Given that
Number of child workers in the company = 20
=> 2X = 20
=> X = 20/2
=> X = 10
Therefore, X = 10
The number of male workers = 5X
=5×10
= 50
The number of female workers = 3X
= 3×10
= 30
The ratio of their wages = 7:5:3
Let the wage of male be 7Y
Let the wage of female be 5Y
Let the wage of child be 3Y
Total wage of the workers
= 7Y+5Y+3Y
= Rs. 15Y
According to the given problem
The total weekly wages of the male, female and child workers = Rs. 28000
Given that
Number of working days in a week
= 5 days (Given )
Total wage per each day
=> 28000/5
=> Rs. 5600
=> 15Y = 5600
=> Y = 5600/15
=> Y =Rs. 373.33
The wage of male workers per day = 7Y
=> 7×373.33
=> Rs. 2613.31
The wage of female workers per day = 5Y
=> 5×373.33
=> Rs. 1866.65
The wage of child workers per day = 3Y
=> 3×373.33
=>Rs. 1119.99
Answer:-
1)The number of male workers = 50
The number of female workers = 30
2) The wage of male workers per day
= Rs. 2613.33
The wage of female workers per day
= Rs. 1866.65
The wage of child workers per day
= Rs. 1119.99