number of employees in a factory decreases in the ratio of 8:7 and salary of employees increases in the ratio of 5:6. find weather the total salary given to the employees is increased or decreased and in what ratio?
Answers
Let total number of employees in beginning = 8K
And total number of employees in present = 7K
Let salary of an employee in beginning = 5L
and salary of an employee in present = 6L
∴ Total salary in beginning = 8K × 5L = 40KL
and total salary in present = 7K × 6L = 42 KL
Required ratio = 40KL : 42KL = 20 : 21
Clearly, salary is increased.
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Answer:
The total salary given to the employees is increased in the ratio 20:21.
Step-by-step explanation:
Ratio and proportion:
- Let the number of employees in a factory in the beginning = 8a
the number of employees in a factory at present = 7a
- Let the salary of employees in the beginning = 5b
the salary of employees at present = 6b
- Total salary = (no. of employees)x(salary of employees)
Total salary of employees in the beginning = (8a)(5b)
= 40ab
Total salary of employees at present = (7a)(6b)
= 42ab
Ratio of total salary of employees in the beginning and at present
= 40ab: 42ab
= 40:42
=20:21
Hence the total salary of employees is increased and the ratio is 20:21.
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