According to a car dealer's sales report, 1/3 of the cars sold during : Problem Solving (PS)

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Bunuel

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According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

17 Sep 2018, 23:59

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According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

A. 2N/15

B. 3N/5

C. 5N/3

D. 5N/2

E. 15N/2

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taniad

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Re: According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

18 Sep 2018, 00:18

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Ans: D= 5N/2
Let cars sold=x
Sedans sold= 1/3(x)
Other Cars= 2/3(x)
Station wagons sold= 1/5(2/3(x))=2x/15=>N
=> x= 15N/2
Sedans=1/3(15N/2)= 5N/2

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Akash720

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According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

Updated on: 18 Sep 2018, 19:17

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Bunuel wrote:

According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

A. 2N/15

B. 3N/5

C. 5N/3

D. 5N/2

E. 15N/2

Sedans sold = X/3
Station wagons sold = 1/5 of left (other cars) = \(1/5*2X/3 = 2X/15\)
2X/15 = N (Given)
X = 15N/2
X/3 = 5N/2

+1 for D
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Originally posted by Akash720 on 18 Sep 2018, 00:33.
Last edited by Akash720 on 18 Sep 2018, 19:17, edited 1 time in total.

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abhishekdadarwal2009

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Re: According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

18 Sep 2018, 03:08

Bunuel wrote:

According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

A. 2N/15

B. 3N/5

C. 5N/3

D. 5N/2

E. 15N/2

Let total number of cars be 15,(smart number assumed based of 1/3,1/5).
then the sedans will be 5 and station wagon will be 3. ,
if N is the number of station wagon then sedans=?

we can just put the value of N in the options to get correct value.

so we put n=3 and get C as the correct answer.

Option C.

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EgmatQuantExpert

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Re: According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

18 Sep 2018, 03:18

Expert Reply

Solution

Given:

To find:

• The number of sedans sold in terms of N
Approach and Working:

Therefore, the number of sedans sold during that period = \(\frac{5N}{2}\)

Hence, the correct answer is option D.

Answer: D

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NYDukie

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Re: According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

19 Sep 2019, 13:30

Any similar questions to practice for this topic? Bunuel

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According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

Updated on: 19 Sep 2019, 23:10

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Bunuel wrote:

According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

A. 2N/15

B. 3N/5

C. 5N/3

D. 5N/2

E. 15N/2

(Solving by plugging nos.)

Since LCM of 3 and is 5 is 15.
Take total no of cars sold as 15

1/3 sold were sedans. so 5 sedans were sold.
remaining 15-5= 10

1/5 of remaining sold were station wagons, so 2 station wagons sold depicted by N.

Plug the value in options and (D) is the answer.

Originally posted by Eternal on 19 Sep 2019, 14:06.
Last edited by Eternal on 19 Sep 2019, 23:10, edited 1 time in total.

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Bunuel

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Re: According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

19 Sep 2019, 20:52

Expert Reply

NYDukie wrote:

Any similar questions to practice for this topic? Bunuel

Check this: https://gmatclub.com/forum/a-total-of-x ... fl=similar
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Re: According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

20 Sep 2019, 02:05

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let total cars sold = 15
so sedan ; 15/3 ; 5
left with 10 cars ; out of which 10/5 ; 2 are wagons
so N=2 option D 5N/2 is correct for sedans

Bunuel wrote:

According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

A. 2N/15

B. 3N/5

C. 5N/3

D. 5N/2

E. 15N/2

B

pratiksha1998

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Concentration: General Management, Strategy

Schools: Goizueta '25

GMAT 1: 600 Q47 V27

Re: According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

05 Nov 2021, 06:32

Let the total number of cars be x
Acc to the question number of sedans sold = x/3
Cars left = x-x/3
Given that 1/5*(x-x/3) =N
Solving for x/3; we get 5N/2
Ans = 5N/2

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GMATCoachBen

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According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

22 Dec 2023, 21:06

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Expert Reply

Here's a very similar problem that you may want to try: https://gmatclub.com/forum/at-a-certain-pizzeria-1-8-of-the-pizzas-sold-in-one-week-were-mushroo-168060.html#p1337525

And my solution video for that one: https://youtu.be/13onWibgsqg

Video solution for this one:

A key habit is to read carefully! A common mistake is to misread the "OF ____" part; here, we must not overlook the word "1/5 of the OTHER cars."

0:10 Method 1 — Pick a number for the total cars, "T". We use the Least Common Multiple (LCM) of 3 and 5, which is 15.

1:36 Method 2: Fast Algebra. It's essential to get very fluent translating words to equations.

Attachments

2023-12-22 20_04_43-Example 2_ Fast Solutions for a _Variable in Choices_ Problem_ 1) Pick number fo.png [ 1.25 MiB | Viewed 1389 times ]

2023-12-22 20_04_56-Example 2_ Fast Solutions for a _Variable in Choices_ Problem_ 1) Pick number fo.png [ 1.45 MiB | Viewed 1388 times ]

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According to a car dealer's sales report, 1/3 of the cars sold during [#permalink]

22 Dec 2023, 21:06

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