Question

The number of employees in a factory decreases in the ratio 8:7 and the salary of employees increases in the ratio of 5:6. Find whether the total salary of the employees increased or decreased and in what ratio.

Answer 1

Let total number of employees in the beginning be 8x.
Total employees after decrease = 7x

Initial salary of the employee = 5y
Final salary of the employee = 6y

Total salary in the beginning = 8x$\times$5y = 40xy
Final total salary = 7x$\times$6y = 42xy

Clearly, final salary > initial salary.
So, the total salary has increased.
$\therefore$ Increase ratio = 40xy : 42xy = 20:21