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29 Jan 2024, 02:10
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A
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Difficulty:
45%
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Question Stats:
77% (02:07) correct
23%
(02:24)
wrong
based on 581
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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%
2024-01-29_12-32-49.png [ 40.27 KiB | Viewed 5974 times ]
A. 12%
B. 20%
C. 24%
D. 32%
E. 40%
Attachment:
2024-01-29_12-32-49.png [ 40.27 KiB | Viewed 5974 times ]
29 Jan 2024, 02:24
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guddo
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:
Attachment:
Cars.png [ 7.1 KiB | Viewed 7126 times ]
General Discussion
29 Oct 2024, 18:52
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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?
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
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
