Question

Two person agreed to complete a work at the cost of rs 4800.first person can complete the work alone 5 day and second person complete the work in8 day. With the help of a boy and a girl. They can complete the work in 3day.if the work done by girl Is twice work done by boy. What is the amount of wage received by girl

Answer 1

Total wages = Rs. 4800

Person A-5

Person B-8

One day’s work = A-1/5  

&

B-1/8

With help of a Girl and a boy

1/5 + 1/8 + 1/(G+B) = 1/3

13/45 + 1/(G+B) = 1/3

1/(G+B) = 2/45

1/5:1/8:2/45=1/3

Wages of girl + boy =3x2/45x4800 = 320x2=640

Boy -8

Girl -2B

G+B=640

2B+B=640

3B=640

B=640/3= 213.3

Therefore, the wages of girl is -213.3x 2= Rs.426.7.