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 the salaries 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 is Rs. 720

x + y = 720     ...(I)

Also,

`x/y = 5/3`

= 3x = 5y

= 3x − 5y = 0     ...(II)

Multiplying (I) by 3, we get

3x + 3y = 2160     ...(III)

(III) − (II)

8y = 2160

= y = 270

Putting the value of y in (I), we get

x = 450

One day’s salary of a skilled person is Rs. 450, and that of an unskilled person is Rs. 270.