Question

2 women and 1 boy can complete a piece of work in 14 days while 4 boys and 2 women can complete the same work in 8 days . If women get 240 rupee per day . Find boy get per day rupees

Answer 1

We have to find the ratios between Women and boy to determine what are the wages that the boy is getting.

Let the women be 'x' and boy be 'y':

The equation would be as follows:

=>  (2x + y)*14 = (2x + 4y)*8

=> 28x + 14y = 16x + 32y

=> 28x - 16x = 32y - 14y

=> 12x = 18y       (divide both sides of equation by 12)

=> x = 3y/2

= x/y = 3/2  therefore the ratios for x:y will be 3:2

Now the women gets 240 rupees per day in her respective ratio of 3/5.

Lets say she gets 3/5 of 'z' rupees.

3z/5= 240        (multiply both sides of equation by 5/3 )

z= 400 rupees

The boy would get 2/5 of 400 rupees which will be 160 rupees per day.