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GMAT Club Olympics 2025 (Day 1): At the end of the year, a company had 30 Jun 2025, 10:43
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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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Marketing = 0.3 x 120 = 36

Finance = 2x, Operation = x

2x+x = 86
x=28

operation = 28, Finance = 56

Layoff:

Finance layoff = F
Marketing layoff = 2F
Operation layoff = 0.5F

Total Layoff: F+2F+0.5F = 28
F=8

Finance layoff = 8
Marketing layoff = 16
Operation layoff = 4

Finance = 56-8 = 48
Operations = 28-4 = 24
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as there are 120 employees M is 30% ie 36, M+F+O=120

F=2O, so 2O+O=84(F+O =84) 3O =84. F=56, O=28

since we know that total layoff=28, m layoffs =2F and O layoff =0.5F and F layoff =F, ie F+2F+0.5F=28

3.5F=28
F=8 layoffs(28/3.5)
O=4 layoffs(0.5*8)
M=16 layoffs(2*8)

F after layoff= 48
O after layoff =24


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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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Before Layoffs

1. The number of employees in the marketing dept = 30% of 120 = 36
2. The number of employees in the finance dept = 2x
3. The number of employees in the operations = x

2x + x = 120 - 26

x = 28

1. The number of employees in the marketing dept = 36
2. The number of employees in the finance dept = 56
3. The number of employees in the operations = 28

During Layoffs

M : F : O = 4 : 2 : 1

7*y = 28

y = 4

After Layoffs

Finance = 56 - 8 = 48
Operations = 28 - 4 = 24

Finance = 48
Operations = 24
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Answers I selected:
1) Finance: 48
2) Operations: 24

Method:
1. Solving for the number of employees at the end of the year, where M = Marketing, F = Finance, and O = Operations,
M+F+O = 120

-If M is 30% of 120, then there are 36 marketing employees, M = 36*
-F+O is then 70% of 120, which is 84, F+O=84
-There are 2x as many finance employees as operations, so Operations can be assigned variable x and Finance would then be 2x:
2x + x = 84
3x = 84
x = 28
Therefore, F = 2(28) = 56, and O = 28

At the beginning of the following year, we know the number of people laid off = 28, and variables can be assigned to each department based on the magnitude of relationship to each other. I came up with 2 equivalent options, one with a decimal/fraction and one without:
M = 2x, F = x, O = 0.5x, where 2x + x + 0.5x = 28
OR
M = 4x, F = 2x, O = x, where 4x + 2x + x = 28**

Since the second option is easier to mentally calculate: 7x = 28, therefore x = 4, and operations lost 4 employees. Since finance was 2x, finance then lost 2(4) = 8 employees.

Subtracting these layoffs from our starting values:
Finance: 56 - 8 = 48
Operations: 28 - 4 = 24


*In case this is helpful for anyone - the method I use to quickly calculate percentages in my head is to find 10% and then multiply by the factor needed to get to the percentage in question. So 10% of 120 is 12, so 30% of 120 is 12*3 = 36

**One thing to be careful of here is you will still get the same end values for each department if you use either set of equations, but x is not assigned to the same department. In the first option with decimal/fraction, solving for x will give you the number of people in Finance; whereas in the second case, solving for x will give you the number of people in operations. Then you multiply by the respective coefficients assigned to get the other departments.
Option 1: 2x + x + 0.5x = 28 --> 3.5x = 28 --> 7x = 56, x = 8
--> Marketing (2x): 16, Finance (x): 8, Operations (0.5x): 4
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Total employees before layoff = 120
Marketing = 0.3(120) = 36
Finance = 2x
Operations = x

120 - 36 = 84
2x + x = 3x = 84 --> x = 28

So, finance = 56 and operations = 28

----------------------------------------------------------------

Employees laid off = 28
Operations = y
Finance = 2y
Marketing = 4y

7y = 28 --> y = 4

So, Operations = 4, Finance = 8, Marketing = 16

----------------------------------------------------------------

Finally, employees left after layoff:
Marketing = 36 - 16 = 20
Finance = 56 - 8 = 48
Operations = 28 - 4 = 24
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*For reference Marketing = M; Finance = F; Operations = O, the ones laid off are the lowercase versions of the same m, f, o.

M = 30% = 36
(120 - 36 = 84; 84/3 = 28; 28*2 = 56)
F = 56
O = 28

Given,
m = 2f; 2o=f, also m+f+o = 28

Substituting for o, (m=2f=4o): 4o + 2o + o =28
o = 4
Subsequently, f=8; m=16

Therefore F' = 56 - 8 = 48 & O' = 28 - 4 =24

*F' & O' represent number after layoff
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M employee120*30 %= 36
F+ Op +M
F+ Op
2Op +Op
Op
so, F		120
120-36=84
84
84/3=28
28*2= 56
layoffs=28
M+ Op+ F=28
2F +F/2 + F=
7F/2 =

F =
so Op =
28
28

8(layoffs)
4(F/2)
remaining employee
F=56-8=48
Op=28-4=24

Bunuel
 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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Step 1: Initial Employee Distribution
Total employees = 120.
- Marketing: 30% of 120 = 0.3 × 120 = 36 employees.
- Remaining: 120 − 36 = 84 employees.
- Finance = 2 × Operations. Let Operations = \( O \), then Finance = \( 2O \).
- \( 2O + O = 84 \), so \( 3O = 84 \), \( O = 28 \).
- Finance = \( 2 \times 28 = 56 \).
Initial: Marketing = 36, Finance = 56, Operations = 28.

Step 2: Layoffs
Total layoffs = 28.
- Layoffs: Marketing = 2 × Finance, Operations = 0.5 × Finance. Let Finance layoffs = \( F \).
- Then: Marketing layoffs = \( 2F \), Operations layoffs = \( 0.5F \).
- \( 2F + F + 0.5F = 28 \), so \( 3.5F = 28 \), \( F = 28 / 3.5 = 8 \).
- Marketing layoffs = \( 2 \times 8 = 16 \).
- Operations layoffs = \( 0.5 \times 8 = 4 \).

Step 3: Post-Layoff Numbers
- Finance: 56 − 8 = 48 employees.
- Operations: 28 − 4 = 24 employees.

Final Answer:
Finance: 48
Operations: 24
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at the end of year, Total employee = 120
Marketing = 30% 0f 120 = 36 Nos ..... (i)
Operations = x then finance = 2x => x+2x= 120-36 = 84
3x= 84 => x= 28
Operations = 28 Nos , Finance = 56 Nos .. (ii)

Layoff = 28. Operations = x , Finance = 2x, Marketing = 4x (twice of finance) => 7x = 28 => x= 4
Laid off => O = 4, F = 8, M =16

Remaining => O = 24 Nos, F = 48 Nos, M = 20 Nos

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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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M+F+O = 120
36+F+ O = 120, then F+O = 84, 2x+X. =84, X = 28
M = 36, F = 56, O = 28

Layooff M+F+O = 28
2Y+Y+y/2 = 28 = Y = 8

M = 36-16 = 20
F = 56-8 = 48
O = 28-4 = 24
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We have total 120 employees, so Marketing(M) + Finance(F) + Operations(O) = 120, since each employee can work in exactly one of the three departments.
According to the question, we have M=36 (30% of the employees) and F=2O
Also, F+O=84 (As remaining employees, 120-36=84), So we have now F=56 and O=28

Now, total of 28 employees got layoff from these three departments, such that
M=2F and 2O=F and also we know that total layoff from these three dept are 28 employees.
So, we have M=16, F=8 and O=4 that company decided to layoff.

Therefore, after layoff we have,
F=48 and O=24
Finance=48 and Operations=24

Regards,
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Finance= 48, Operations= 24
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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

[color=#0f3850]• Exactly 30% of these employees were in the Marketing department.[/color]
[color=#0f3850]• Of the remaining employees, the number in Finance was twice the number in Operations.[/color]

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Answer: 30% of 120= 36
M=36
F=2O
F+O=84
3O=84
O=28
F=56

After lay off (let m,f,o represent laid off employee count)
2m=f
f=o/2
f+m+o=28
7f/2=28
f=8
o=2f=16

Number laid of from finance is F-f=56-8=48
Number laid of from Operations is O-o=28-16=12
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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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Said: M is the employees from marketing, F is the employees from Finance and O is the employees from Operation
At the end of the year,
70% of 120 = 2O + O = 3O => O= 84/3 = 28
=> F=2(28) = 56
At the beginning of the next year,
  • with twice as many laid off from Marketing as from Finance => M = 2F
  • and half as many from Operations as from Finance => O=1/2F
=> 28 = F + 2F + 1/2F = 7/2F => F= 8 and O = 4
The number of employees, after the layoffs, who work in the Finance department is 48 (56-8), and in the Operation department is 24 (28-4)

Answer: Finance is 48 and Operation is 24
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120 employees
marketing employees = m
30% of 120 =36 employees in Marketing
m= 36 employees
120-36 = 84 employees remain

finance employees = f
operations employees =p

Of the remaining employees, the number in Finance was twice the number in Operations.

f=2p

f+p= f + p = 2p + p = 3p =84
p=28 employees
f=2p= 2*28= 56
f=56 employees

a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Laid off's
2f= m
f/2= p

f+m+p= f+2f+f/2=28
7f/2=28
f=8

f/2= p= 8/2=4

ANS
final total finance employees = 56-8 = 48 employees
final total operations employees = 28-4 = 24 employees
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Given, 30% employees belong to Marketing , which is 0.3*120=36,

remaining employees = 120-36= 84.
let us assume employees in Operations = x
so Total employees in Finance= 2x
as per question x+2x=84 => x=28

Total employees from operations =28
total employees from finance =56

let the number of employees laid off from finance be =2y
number of employees laid off marketing will be =4y
number of employees laid off from operations will be = y
so , 2y+4y+y =28
y=4.
laid off from finance=8
laid from marketing =16
laid off from operations =4

so after layoff finance department has = 56-8=48 employees
after layoff from operations has =28-4 =24 employees.

Bunuel
 


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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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Solution:

Let Marketing = M, Finance = F and Operation = O

As it is mentioned at the end of the year company had 120 employees. So, M+F+O = 120-->Equation 1

Exactly 30% of these employees were in the Marketing department.=36. Remaining in finance and operations = 84

Also, the number in Finance was twice the number in Operations = F = 2O. As we know, F + O = 84. So, we O + 2O = 84 and O is 28 and F is 56.

The first dropdown is 56, and the second is 28.
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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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AnujSingh0147
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GMAT Club Olympics 2025 (Day 1): At the end of the year, a company had 30 Jun 2025, 14:14
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Total employee = 120

Marketing has 30% of all employees = 30*120/100 = 36
Finance = 2x
Operations = x
2x+x = 3x = 120-36
x = 28

Layoff

Marketing/Finance = 2/1
Finance/Operations = 2/1

Marketing:Finance:Operations = 4:2:1
4y+2y+y = 7y
Total employees layoff = 28
7y = 28
y = 4

Net Finance employee = 56 - 2y = 56-8 = 48
Net Operations employee = 28-y = 28-4 = 24
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GMAT Club Olympics 2025 (Day 1): At the end of the year, a company had 30 Jun 2025, 14:33
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Bunuel
 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

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At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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GMAT Club Olympics 2025 (Day 1): At the end of the year, a company had 30 Jun 2025, 14:47
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Bunuel
 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 



At the end of the year, a company had exactly 120 employees working in three departments: Marketing, Finance, and Operations, with each employee working in exactly one of the three departments.

• Exactly 30% of these employees were in the Marketing department.
• Of the remaining employees, the number in Finance was twice the number in Operations.

At the beginning of the next year, the company decided to lay off a total of 28 employees from these three departments, with twice as many laid off from Marketing as from Finance, and half as many from Operations as from Finance.

Select for Finance and Operations the number of employees who work in the Finance and Operations departments, respectively, after the layoffs. Make only two selections, one in each column.
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120 Employees, and 30% are in the marketing department.
That means, 36.
-> Residual sum of 84 (Divided by 3: 28)
Finance: 56 and Operations: 28

Layoffs:
Marketing: 2x Finance
Finance: 2x Operations

Operations: 1
Finance: 2
Marketing: 4
Sum: 7
28/7 = 4

Layoffs:
4 in Operations and 8 in Finance.

That results in:
56 - 8 = 48 for Finance and 28 - 4 = 24 in Operations.
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