Of the vehicles (cars and trucks) for sale at a certain dealership, 48

Question

Of the vehicles (cars and trucks) for sale at a certain dealership, 48 percent are cars that have 4 doors. If 80 percent of the cars for sale at the dealership have 4 doors, what percent of the vehicles are cars that do not have 4 doors?

A. 12%
B. 20%
C. 24%
D. 32%
E. 40%

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(A) 12%
(B) 20%
(C) 24%
(D) 32%
(E) 40%

MartyMurray · Accepted Answer

There are a few ways to answer this question.

I'd probably do it in my head this way.

48% of all vehicles = 80% of cars (the ones that have 4 doors)

100% - 80% = 20% of cars do not have 4 doors

20%/80% = 1/4

So, 20% of cars = 1/4 of 48% of all vehicles = 12% of all vehicles

The correct answer is (A).

MartyMurray · Answer

Of the vehicles (cars and trucks) for sale at a certain dealership, 48 percent are cars that have 4 doors. If 80 percent of the cars for sale at the dealership have 4 doors, what percent of the vehicles are cars that do not have 4 doors?

A. 12%
B. 20%
C. 24%
D. 32%
E. 40%

Show Spoiler

Attachment:

The attachment 2024-01-29_12-32-49.png is no longer available

Often, when a question involves percentages, we can simplify the process of finding the answer by using smart numbers.

In the case of this question, saying that the total number of vehicles is 100 works well.

In that case, since 48 percent of the vehicles are cars that have 4 doors, 48 cars have 4 doors.

48 is 80 percent of the cars. Thus, the remaining 20 percent of the cars are 80 percent/4 = 48/4 = 12 cars that do not have 4 doors.

12 cars represent 12 percent of the 100 total vehicles.

A. 12%
B. 20%
C. 24%
D. 32%
E. 40%

Correct answer:  A

Bunuel · Answer

We know that: 48% of the total vehicles are cars AND have 4 doors. 80% of the cars have 4 doors. This means that 0.8 * {cars} = 0.48 * {total}. On the other hand, since 80% of the cars have 4 doors, it means that 20% of cars do not have 4 doors. We are asked to find what 0.2*{cars} is as a percent of the total. Since 0.8 * {cars} = 0.48 * {total}, then 0.2 * {cars} will be a quarter of that, so 0.12 * {total}. Answer: A. P.S. Check the image below for a better understanding: https://gmatclub.com/forum/download/file.php?id=74680 Cars.png

Kinshook · Answer

DALC1

Given:  Of the vehicles (cars and trucks) for sale at a certain dealership, 48 percent are cars that have 4 doors. 
 Asked:  If 80 percent of the cars for sale at the dealership have 4 doors, what percent of the vehicles are cars that do not have 4 doors?

Cars  Trucks  Total  
  4 doors  48%      
  ~4 doors        
  Total  48%/80% = 60%    100%

Cars  Trucks  Total  
  4 doors  48%      
  ~4 doors  60%-48%= 12%       
  Total  48%/80% = 60%    100%

IMO A

ayushiii02 · Answer

Let the total vehicles be x 
Let the total cars be y 
Then — 48/100x = 80/100y 
Now, through this we get 60/100 = y/x

That is 60% are total cars, amongst which 48% are 4 doors, so the cars that donot have 4 doors = 60-48 = 12%.

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MoPouyan · Answer

Let the total number of vehicles at the dealership be V
Let the total number of cars at the dealership be C

We know that 48% of the total vehicles are cars with 4 doors:
Cars with 4 doors = 0.48⋅V

We also know that 80% of all cars have 4 doors:
Cars with 4 doors=0.8⋅C
These two quantities must be the same because they both represent the number of cars with 4 doors:
0.8⋅C=0.48⋅V

C= 0.48⋅V / 0.8 =0.6 V

This means that 60% of the total vehicles are cars.

Calculate the percentage of cars that do NOT have 4 doors:

Out of all the cars, 80% have 4 doors. Therefore, the remaining 20% of the cars do NOT have 4 doors.

The total number of cars is 0.6 ⋅ V and 20% of these do not have 4 doors:

Cars without 4 doors = 0.2⋅ (0.6⋅V)=0.12⋅V

HadjiMurad · Answer

all of this answers are too complicated for me, so I found easy one, like most simple. So 48% of 4d - is 80% of all cars, then 20% is  no 4d cars .  Proportion 48/x = 80/20 ; 48*20/80 = 12. I spent about 10 minutes to understand it, idk why my mind couldn't find so simple answer :/

BraydinWalters · Answer

Let's assume we're working with 100 cars

48 percent (or 48 of 100) are cars that have 4 doors

80 percent of the cars at dealership have 4 doors: 4/5x = 48 so x = 60

60 - 48 = 12

12/100 = 12%

Cars 
 Trucks 
 Total 
 
  Four Doors 
  48

Two Doors 
   12

Total 
  60  
  
  100

HarshavardhanR · Answer

https://gmatclub.com/forum/download/file.php?id=86742 --- Harsha GMAT-Club-Forum-ntb0u34i.png

KarishmaB · Answer

Of the vehicles (cars and trucks) for sale at a certain dealership, 48 percent are cars that have 4 doors.

So if there are 100 vehicles for sale, 48 are 4-door cars.

If 80 percent of the cars for sale at the dealership have 4 doors, what percent of the vehicles are cars that do not have 4 doors?
 
Of the cars, 80% has 4-doors and 20% do not have 4-doors. So the ratio of cars with 4-doors and no 4-doors is 4 : 1. 
Above, since 48 cars have 4-doors, so 12 cars do not have 4-doors.

what percent of the vehicles are cars that do not have 4 doors?

Of 100 vehicles, 12 are cars that do not have 4-doors.

Hence  answer (A)

Of the vehicles (cars and trucks) for sale at a certain dealership, 48

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	Cars	Trucks	Total
4 doors	48%
~4 doors	60%-48%=12%
Total	48%/80% = 60%		100%

GMAT Problem Solving (PS) Questions

Of the vehicles (cars and trucks) for sale at a certain dealership, 48

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