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5 December, 01:01

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.

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  1. 5 December, 04:45
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    The initial expenditure of the company on salary is Rs. 72.000

    Explanation:

    First we need to express the employees ratio in letter

    3A=B

    2C=D

    A and C being the amount of employees

    B the salary before, D the salary after

    They say the salary after is the slary before minus Rs. 12.000

    we can express this as D=B-12.000

    We know to that the salary of each employee increased 4 to 5

    Then C = (5/4) A or A = (4/5) C

    We can have the following equation

    2 ((5/4) A) = B-12.000

    A = (2/5) (B-12.000)

    we use this in the first expression

    3 (2/5) (B-12.000) = B

    1,2B-14400=B

    0,2B=14400

    B=72.000
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