Question

Solve the Following Word Problem.

In a factory the ratio of salary of skilled and unskilled workers is 5 : 3. Total salary of one day of both of them is Rs 720. Find daily wages of skilled and unskilled workers.

Answer 1

Ratio of salary of skilled to unskilled workers = 5 : 3
Let one day salary of skilled person be x and that of unskilled person be y.
Their total one day salary Rs 720
\[x + y = 720 . . . . . \left( I \right)\]
Also, 
\[\frac{x}{y} = \frac{5}{3}\]
\[ \Rightarrow 3x = 5y\]
\[ \Rightarrow 3x - 5y = 0 . . . . . \left( II \right)\]
Multiplying (I) with 3 we get
\[3x + 3y = 2160 . . . . . \left( III \right)\]
(III) -  (II)
\[8y = 2160\]
\[ \Rightarrow y = 270\]
Putting value of y in (I) we get
\[x = 450\]
One day salary of skilled person Rs 450 and that of unskilled person Rs 270.