A company reduces his employee in the ratio 14 : 12 and increases their wages in the ratio 16:18, determine whether the bill of wages increases or not and in what ratio.
Answers
Let initial employee be 14a and final employee be 12a similarly initial wage is 16b and final wage be 18b
Total initial wage = 14a * 16b = 224ab, total final wage = 12a* 18b = 216ab
So clearly wages decreases and ratio = 224ab: 216ab = 28:27
The bill of wage Decreases, and the ratio is 28:27 .
Step-by-step explanation:
Consider the provided information.
Let x is the common factor.
A company reduces his employee in the ratio 14 : 12
That means the initial employee are 14x and final employee are 12x.
Let y is the common factor for wage.
Their wages in the ratio 16:18,
The initial wage is 16y and final wage be 18y.
Therefore, total initial wage is: 14x×16y=224xy
Total final wage = 12x×18y = 216xy
Wage decreases by 224-216=8xy
The ratio is
224xy: 216xy = 28:27
Hence, the bill of wage Decreases, and the ratio is 28:27.
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