In a company, at the time of inflation, the number of employees are reduced in the ratio 3 : 2 and the salary of each employee is increased in the ratio 4 : 5. By doing so, the company saves  24, 000. So, find the initial expenditure on salary.

A 72000

B 65000

C 87000

D 144000

E None of these

Solution

Correct Answer: Option D

Let number of employees earlier = 3a

Then number of employees now = 2a

Average salary of employees earlier = 4b

Average salary of employees now = 5b

Total salary of employees earlier = 3a × 4b = 12ab

Total salary of employees now = 2a × 5b = 10ab

Difference = 12ab – 10ab = 2ab

Given that 2ab =  24000----- (1)

Then, initial expenditure = 12ab = 2ab × 6 (using (1))

= 144000

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