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Alenkinab
1 month ago
8

The number of employees in a company is reduced in the ratio 3 : 2 and the salary of each employee is increased in the ratio 4 :

5. By doing so, company saves Rs. 12,000. So, find the initial expenditure of the company on salary.​
Business
1 answer:
harina [3.8K]1 month ago
6 0

Response:

The company's initial salary expenditure amounts to Rs. 72,000

Clarification:

First, we need to denote the employee ratio with letters

3A=B

2C=D

where A and C indicate the number of employees

B signifies the salary before, while D is the salary after

It is stated that the salary after the change is the original minus Rs. 12,000

which we represent as D=B-12,000

We also know the salaries for each employee rose from 4 to 5

This leads to C=(5/4)A or A=(4/5)C

From here, we can formulate the equation

2((5/4)A)=B-12,000

A=(2/5)(B-12,000)

We employ this in the initial expression

3(2/5)(B-12,000)=B

1.2B-14400=B

0.2B=14400

B=72,000

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