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 12,000. So, find the initial expenditure of the company on salary.

A 72000

B 62000

C 82000

D 52000

E None of these

Solution

Correct Answer: Option A

Let the 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 = 12,000

Then, initial expenditure = 12ab = 2ab × 6

=  72000

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