Question

An employer reduces the number of employees in ratio 15:8 and increases their wages in the ratio 14:25 .In what ratio is their wage bill increased or decreased..

Answer 1

Let the total no of employees initially be 15X
After downsizing the total no of employees = 8X
Similarly wages before be 14Y
And after downsizing = 25Y

Hence total wages before downsizing = total employees * wages per employee
= 15X*14Y=210XY
Total wages after downsizing = 8X*25Y= 200 XY
Ratio of wage bill = 210XY: 200XY
= 21:20
Hence the wage bill ratio decreases to 21:20

Answer 2

Answer:

The wage bill will be decreased and the ratio of the decrease is 21:20

Step-by-step explanation:

Given the ratio of the initial number of employees to that of reduced is 15:8

and the ratio of the initial wage to that of reduced is 14:25.

Now for the sake of simplicity let's assume the ratio as numbers then

the initial wage bill is 15x14(210) and the reduction is 8x25(200).

So there is a decrease and the reduction ratio is 210:200 = 21:20