NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 20:22 It is currently 25 Apr 2024, 20:22
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The cost of chartering a plane was shared equally among 30 passengers.

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619043 [7]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
The cost of chartering a plane was shared equally among 30 passengers. [#permalink] New post   22 May 2020, 09:55
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

93% (01:55) correct 7% (02:05) wrong based on 135 sessions
Hide Show timer Statistics
The cost of chartering a plane was shared equally among 30 passengers. If there had been 35 passengers sharing that cost, the cost per passenger would have been $30 less. What was the cost of chartering the plane?

A. $5,400
B. $6,125
C. $6,300
D. $6,800
E. $7,350

PS20354
ShowHide Answer
Official Answer
C
User avatar
L
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3137
Own Kudos [?]: 2769 [0]
Given Kudos: 1510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Send PM
Re: The cost of chartering a plane was shared equally among 30 passengers. [#permalink] New post   22 May 2020, 10:04
Answer is C

Let the cost of chartering the plane is X
The per passenger cost be y

When there are 30 passengers chartering the plane cost pee head is.
X/30=Y => X=30Y ---------(1)

If there were 35 passengers, the cost per head would have lessen by 30$.
X/35=(Y-30) => X=35Y-1050 -----(2)

Equating both equations,
30Y = 35Y-1050
5Y=1050
Y=210

The cost of chartering the plane is 30*y => 30*210 => 6300$

Posted from my mobile device
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8019
Own Kudos [?]: 4098 [3]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: The cost of chartering a plane was shared equally among 30 passengers. [#permalink] New post   22 May 2020, 10:06
1
Kudos
1
Bookmarks
Bunuel wrote:
The cost of chartering a plane was shared equally among 30 passengers. If there had been 35 passengers sharing that cost, the cost per passenger would have been $30 less. What was the cost of chartering the plane?

A. $5,400
B. $6,125
C. $6,300
D. $6,800
E. $7,350

PS20354


from given info we know
x/35 = x/30 - 30
solve for x = $ 6300
OPTION C
User avatar
G
NitishJain
IESE School Moderator
Joined: 11 Feb 2019
Posts: 271
Own Kudos [?]: 171 [2]
Given Kudos: 53
Send PM
Re: The cost of chartering a plane was shared equally among 30 passengers. [#permalink] New post   24 May 2020, 03:28
1
Kudos
1
Bookmarks
C.

Let total Price be x.

Price per passenger when shared by 30 passengers = x/30
Price per passenger when shared by 35 passengers = x/35

As per qtn: x/30 - x/35 = 30

Solving for x: x = 6800
User avatar
G
Basshead
Director
Director
Joined: 09 Jan 2020
Posts: 966
Own Kudos [?]: 223 [0]
Given Kudos: 434
Location: United States
Send PM
The cost of chartering a plane was shared equally among 30 passengers. [#permalink] New post   26 Nov 2020, 19:48
Bunuel wrote:
The cost of chartering a plane was shared equally among 30 passengers. If there had been 35 passengers sharing that cost, the cost per passenger would have been $30 less. What was the cost of chartering the plane?

A. $5,400
B. $6,125
C. $6,300
D. $6,800
E. $7,350

PS20354


Cost of plane = \(C\)
Cost shared equally among 30 passengers: \(\frac{C}{30}\)
Cost shared equally among 35 passengers: \(\frac{C}{35}\)

\(\frac{C}{35} = \frac{C}{30} -1\)

\(\frac{C}{35} = \frac{C}{30} - \frac{30}{30}\)

\(\frac{C}{35} = \frac{C-30}{30}\)

\(C = 210\)

\(210 * 30 = $6,300\)
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16841 [0]
Given Kudos: 165
Send PM
Re: The cost of chartering a plane was shared equally among 30 passengers. [#permalink] New post   28 Nov 2020, 01:21
Expert Reply

Solution



Given
In this question, we are given that
    • The cost of chartering a plane was shared equally among 30 passengers
    • If there had been 35 passengers sharing that cost, the cost per passenger would have been $30 less

To find
We need to determine
    • The cost of chartering the plane

Approach and Working out
Apart from the already mentioned equation-solving approach, we can get the answer using the options also.
    • As the cost can be equally divided by either among 30 passengers or among 35 passengers, we can say the total cost is a multiple of both 30 or 35, or a multiple of LCM (30, 35) = 210
Among the given options, only 6300 and 7350 are divisible by 210

If we check 6300 first,
    • 6300 = 30 x 210 = 35 x 180 (difference in cost is 210 – 180 = 30)

Thus, option C is the correct answer.

Correct Answer: Option C
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32680
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: The cost of chartering a plane was shared equally among 30 passengers. [#permalink] New post   02 Apr 2024, 04:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: The cost of chartering a plane was shared equally among 30 passengers. [#permalink]
02 Apr 2024, 04:25
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions