Question

The ratio of the efficientics of X.Y and Z is `:3:4:5`. The total amount of wates of X.Y and Z working for 20 days. 10 days and 12 days respectively was Rs. 6400. Find the amount of their total wages, if X,Y and Z worked for 30 days, 15 days, and 8 days respectively (in Rs.)
A. 5700
B. 9500
C. 7600
D. 8850

Answer 1

Ratio of daily wages of X,Y and Z = ratio of the efficiencies of x,y and `z=3:4:5`
Let the daily wages of X,Y and Z be Rs.3w, Rs. 4w adn Rs.5w respectively
`20(w)+(10(4w)+12(5w)=6400`
`160w=6400`
w=40
`:.` Required totol wage ( in Rs.) `=30(3w)+15(4w)+8(5w)=190w=76000`