In a company of 800 employees, 25% hold administrative positions.

Question

In a company of 800 employees, 25% hold administrative positions. How many administrative employees would have to be added for the number of administrative employees to be 40% of the total number of employees?

A 80

B 120

C 200

D 320

E 400

A 80
B 120
C 200
D 320
E 400

KSBGC · Answer

Number of current administers at org = 800 * 25% = 200 .

Now this 200 represents 25% . we want it to increase to 40% .

let we have to add x employees.

\frac{200 + x}{800 + x} = \frac{40}{100}

\frac{100 + x}{800 + x} = \frac{2}{5}

1000 + 5x = 1600 + 2x

3x = 600.

x = 200.

C is the correct answer.

Archit3110 · Answer

adminstrative employee = 800*.25 = 200
employee to be added
x+200/x+800 = 40/100
x= 200
IMO C

carajatarora · Answer

Current admin employees = 800*.25=200
Other than admin employees=800-200=600

The updated number of admin employees is 40% of the total number of employees.
Therefore the other employees is 60% of the total employees

So 600=60% of total employees.
Total (updated) number of employees= 1000

So no of employees to be added is 1000-800= 200 new admin employees.

SwethaReddyL · Answer

Hi  Bunuel , I have doubt on this one. I marked answer as 120 - 25% of 800 is 200; To make them 40% of total employees aka 320; we need to add 120 more people. What is wrong in my approach, and I don't understand how it can be 200. Could you please explain this?

Bunuel · Answer

When we add new administrative employees, the total number of employees also increases by the same amount.

Let x be the number of administrative employees that need to be added to make them 40% of the total employees.

Currently, the number of administrative employees is 0.25 * 800 = 200. After adding x employees, the number of administrative employees becomes 200 + x, and the total number of employees becomes 800 + x. Thus, we need such x that satisfy the following equation:

200 + x = 0.4(800 + x)

Solving gives x = 200

Thus, 200 administrative employees need to be added.

Answer: C.

Hope it's clear.

In a company of 800 employees, 25% hold administrative positions.

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In a company of 800 employees, 25% hold administrative positions.

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