If Charlie decides to cut the salary per employee at his

Question

If Charlie decides to cut the salary per employee at his company by 20%, five more employees can be hired for 100,000$ than can be hired at original salary. How many individuals can be hired by Charlie at the original salary if he has 50,000$ to spend on salary.

A. 10
B. 12
C. 15
D. 16
E. 20

A. 10
B. 12
C. 15
D. 16
E. 20

Zuch · Answer

Let original salary be 'X'
No. of people that can be hired on original salary using $100,000 = $100,000 / X
No. of people that can be hired on 20% less salary using $100,000 = $100,000 / (1- 20%)X = $100,000 / 0.8X
Given: ($100,000 / X) - ($100,000 / 0.8X) = 5
Solve for X=> X = 5000
No. of people that can be hired on original salary using $50,000 = $50,000 / X = $50,000 / $5000 = 10
Hence the answer 'A'

Bunuel · Answer

Backsolving works perfectly for this problem.

One can also use algebraic way:

Say the average salary is x, then we would have:

100,000/(0.8x) - 100,000/x=5 --> x=5,000 --> 50,000/5,000=10.

Answer: A.

pqhai · Answer

Original salary = X
New salary = 0.8X (because less than 20%)

Original number of employee: N
New number of employee: N +5

Total salary = 100,000

*equation 1:  (N + 5)*0.8X = 100,000 
*equation 2:  N*X = 100,000

X = 5000 
If total salary = 50,000 ==> Number of employees = 50,000/5000 = 10

Hence, A

PareshGmat · Answer

One can also use algebraic way:

Say the average salary is x, then we would have:

100,000/x-100,000/(0.8x)=5 --> x=5,000 --> 50,000/5,000=10

The above is coming up -ve;

\frac{100,000}{(0.8x)} - \frac{100,000}{x}  = 5 ; x = 5000

jlgdr · Answer

Backsolving works perfectly for this problem.

Here’s the deal. We know that 4/5r * q+5 = 100. Now, we r is now half (50) instead of 100. Therefore, to backsolve we need to multiply each answer choice by 2. But here’s another thing, it must be divisible by 100 since q is the number of people and must be an integer. The only answer choice that when doubled is a multiple of 100 is A. Let's check 4/5*5 * 25 = 4*25= 100.

A it is!

Kudos if it helps
Cheers
J

JeffTargetTestPrep · Answer

We can let s = the original salary per employee and n = the number of new employees that can be hired at the original salary. . So we have:

ns = 100,000

Now, if we cut the salary by 20%, the new salary per employee is 0.8s. If we can hire 5 additional new employees at that new lowered salary, then we can hire (n + 5) new employees. Thus, we have: 
(n + 5)(0.8s) = 100,000

Expanding the second equation, we have:

0.8ns + 4s = 100,000

Since ns = 100,000, we have:

0.8(100,000) + 4s = 100,000

80,000 + 4s = 100,000

4s = 20,000

s = 5,000

Since the original salary per employee is $5,000, we see that Charlie can hire 10 employees for $50,000.

Answer: A

KarishmaB · Answer

Total Salary = Salary * Number of people

If the salary becomes (4/5) of original salary, number of people employed can be (5/4) of original number of people employed to keep total salary same.

New number of people : Old number of people = 5 : 4
The difference of 1 on ratio scale is actually 5 people. So initially 20 people were hired for $100,000. For $50,000 he can hire 10 people.

Answer (A)

bumpbot · Answer

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