Join us for MBA Spotlight – The Top 20 MBA Fair      Schedule of Events | Register

 It is currently 05 Jun 2020, 10:15

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# In 1940 a certain company only had variable expenses and fixed expense

Author Message
TAGS:

### Hide Tags

Intern
Joined: 07 Jun 2018
Posts: 49
Location: United States
In 1940 a certain company only had variable expenses and fixed expense  [#permalink]

### Show Tags

Updated on: 13 Dec 2018, 07:59
3
00:00

Difficulty:

65% (hard)

Question Stats:

52% (02:18) correct 48% (02:40) wrong based on 76 sessions

### HideShow timer Statistics

In 1940 a certain company only had variable expenses and fixed expenses, both of which increased during the year. The companyś Variable expenses increased 10 percent and Fixed expenses increased 20 percent. If the companyś total expenses increased 15 percent from their original amount during 1940, then the companyś variable expenses, after the increase occurred are what fraction of its total expenses for the year?

1. 1/3
2. 1/4
3. 1/2
4. 11/23
5. 12/23

I want to know what difficulty level this question is.

Originally posted by Jazzmin on 12 Dec 2018, 20:29.
Last edited by Jazzmin on 13 Dec 2018, 07:59, edited 1 time in total.
SVP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1684
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
Re: In 1940 a certain company only had variable expenses and fixed expense  [#permalink]

### Show Tags

12 Dec 2018, 22:25
1
Jazzmin wrote:
In 1940 a certain company only had variable expenses and fixed expenses, both of which increased during the year. The companyś Variable expenses increased 10 percent and Fixed expenses increased 20 percent. If the companyś total expenses increased 15 percent from their original amount during 1940, then the companyś variable expenses, after the increase occurred are what fraction of its total expenses for the year?

1. 1/3
2. 1/4
3. 1/2
4. 11/23
5. 12/23

Detailed Method :

We have only two types of expenses i.e. Variable expenses and Fixed Expenses

Let us denote Variable expenses = V

Fixed expenses = F

Total Expense = (V + F)

Variable expenses increased 10 percent means: V becomes 1.10V --- (I)

Fixed expenses increased 20 percent means: F becomes 1.20F -----(II)

We know,

Total expenses increased 15 percent from their original amount : (V +F) becomes 1.15(V +F) -----(III)

Now, (I) +(II) = (III)

1.10V + 1.20F = 1.15V + 1.15F

1.20F - 1.15F = 1.15V - 1.10V

0.05F = 0.05V

Or $$\frac{F}{V}$$ = $$\frac{1}{1}$$------> (Original Ratio of F and V before the increase occurred)

Question is asking for the ratio of Variable expense to Fixed expense after the increase took place,

So, We want the ratio of $$\frac{1.10V}{1.15V+1.15F}$$

As F = V, replace F by V

$$\frac{1.10V}{1.15V +1.15V}$$

$$\frac{1.10V}{2.30V}$$

Solving it we get, $$\frac{11}{23}$$

Hence (D)

Weighted Average Method :

V/F = 20-15/15-10

$$\frac{V}{F}$$ =$$\frac{1}{1}$$

V increases 10% = 1 + 1*0.1 = 1.10 V (new)

F increases 20% = 1 + 1*0.2 = 1.20 F (New)

We want to find out $$\frac{V new}{V (new) + F (new)}$$
$$\frac{1.1}{1.1+1.20}$$

$$\frac{11}{23}$$
_________________
"Do not watch clock; Do what it does. KEEP GOING."
Manager
Joined: 08 Sep 2008
Posts: 122
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE: Operations (Transportation)
Re: In 1940 a certain company only had variable expenses and fixed expense  [#permalink]

### Show Tags

12 Dec 2018, 22:50
3
To think Smartly…
Lets assume Both variable expenses and fixed expense is same. Suppose X.

Increase in Fixed Expense : X------1.2X
Increase in Variable Expense :X---- 1.1 X

Total:2X
Increase in Total Expense : 2.3 X

Question: Variable Expense/total Expense = 1.1X / 2.3 X = 11/23
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 803
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: In 1940 a certain company only had variable expenses and fixed expense  [#permalink]

### Show Tags

22 Dec 2018, 01:20
I think it is a middle difficulty, but its words may be somehow confusing.

It initially said that the price is increased during 1940,
then mentioned a 15% increase from their original amount during 1940.
It may infer that there are 2 increases: i.e there is 15% increase after the original prices during 1940, which are already increased as mentioned at the start of the question.

It needs time to grasp what it really meant.

Besides, the question can be answered without the 15% increase info. this may add more confusion.
Re: In 1940 a certain company only had variable expenses and fixed expense   [#permalink] 22 Dec 2018, 01:20