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A group can charter a particular aircraft at a fixed total cost. If 36

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A group can charter a particular aircraft at a fixed total cost. If 36 [#permalink]

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New post Updated on: 20 Mar 2018, 03:00
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Question Stats:

71% (01:47) correct 29% (03:43) wrong based on 34 sessions

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A group can charter a particular aircraft at a fixed total cost. If 36 people
charter the aircraft rather than 40 people, then the cost per person is greater
by $12.
(a) What is the fixed total cost to charter the aircraft?
(b) What is the cost per person if 40 people charter the aircraft?

A. a.4320 b.108
B. a.3320 b.118
C. a.2320 b.98
D. a.1038 b.108
E. a.4320 b.98

Originally posted by msk0657 on 20 Mar 2018, 01:30.
Last edited by msk0657 on 20 Mar 2018, 03:00, edited 1 time in total.
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A group can charter a particular aircraft at a fixed total cost. If 36 [#permalink]

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New post Updated on: 20 Mar 2018, 03:10
1
I think the given options are wrong.

Anyways,

Let the Fixed Cost be $X

X/36 = x/40 + 12

X(1/9-1/10) = 12*4

X = 12*4*9*10

X = 4320

Cost per person when 40 people charter - 4320/40 = 108

Answers - 4320, 108

Typo in Option A.

msk0657 wrote:
A group can charter a particular aircraft at a fixed total cost. If 36 people
charter the aircraft rather than 40 people, then the cost per person is greater
by $12.
(a) What is the fixed total cost to charter the aircraft?
(b) What is the cost per person if 40 people charter the aircraft?

A. a.4038 b.108
B. a.3038 b.118
C. a.2038 b.98
D. a.1038 b.108
E. a.4038 b.98

Originally posted by munchkin123 on 20 Mar 2018, 02:58.
Last edited by munchkin123 on 20 Mar 2018, 03:10, edited 1 time in total.
Retired Moderator
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Re: A group can charter a particular aircraft at a fixed total cost. If 36 [#permalink]

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New post 20 Mar 2018, 03:01
munchkin123 wrote:
I think the given options are wrong.

Anyways,

Let the Fixed Cost be Rs. X

X/36 = x/40 + 12

X(1/9-1/10) = 12*4

X = 12*4*9*10

X = 4320

Cost per person when 40 people charter - 4320/40 = 108

Answers - 4320, 108

Typo in Option A.

msk0657 wrote:
A group can charter a particular aircraft at a fixed total cost. If 36 people
charter the aircraft rather than 40 people, then the cost per person is greater
by $12.
(a) What is the fixed total cost to charter the aircraft?
(b) What is the cost per person if 40 people charter the aircraft?

A. a.4038 b.108
B. a.3038 b.118
C. a.2038 b.98
D. a.1038 b.108
E. a.4038 b.98


Thanks for the raising the issue..Kudos...
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Re: A group can charter a particular aircraft at a fixed total cost. If 36 [#permalink]

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New post 20 Mar 2018, 05:31
msk0657 wrote:
A group can charter a particular aircraft at a fixed total cost. If 36 people
charter the aircraft rather than 40 people, then the cost per person is greater
by $12.
(a) What is the fixed total cost to charter the aircraft?
(b) What is the cost per person if 40 people charter the aircraft?

A. a.4320 b.108
B. a.3320 b.118
C. a.2320 b.98
D. a.1038 b.108
E. a.4320 b.98


Cost to charter the plane is fixed.

36 people end up paying an extra $12 each because before this extra payment was being borne by 4 extra people (when there were 40 people)

So each person was paying 36*12/4 = $108
In that case, the cost to charter the plane is 108 * 40 = $4320

Answer (A)
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Re: A group can charter a particular aircraft at a fixed total cost. If 36 [#permalink]

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New post 04 Jun 2018, 09:43
Top Contributor
msk0657 wrote:
A group can charter a particular aircraft at a fixed total cost. If 36 people
charter the aircraft rather than 40 people, then the cost per person is greater
by $12.
(a) What is the fixed total cost to charter the aircraft?
(b) What is the cost per person if 40 people charter the aircraft?

A. a.4320 b.108
B. a.3320 b.118
C. a.2320 b.98
D. a.1038 b.108
E. a.4320 b.98



-----QUESTION A--------------
Let T = TOTAL price of charter
With 36 people, the price PER PERSON = T/36
With 40 people, the price PER PERSON = T/40

We're told that the price PER PERSON with 36 people is $12 greater than the price PER PERSON with 40 people.

In other words: price PER PERSON with 36 people is $12 MORE than the price PER PERSON with 40 people

Or: (price PER PERSON with 36 people) = (price PER PERSON with 40 people) + $12

Now we can write: T/36 = T/40 + 12 (solve for T)
To eliminate the fractions, multiply both sides by 360 to get: 10T = 9T + 4320
Solve: T = 4320

So, the TOTAL price of the charter = $4320

-----QUESTION B--------------
From above, we know that the TOTAL price of the charter = $4320
With 40 people, the price PER PERSON = T/40

So, the price PER PERSON = 4320/40 = $108

So, each person pays $108
------------------------

So, the answers are: A) $4320 and B) $108

Answer: A

Cheers,
Brent
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Brent Hanneson – Founder of gmatprepnow.com

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Re: A group can charter a particular aircraft at a fixed total cost. If 36   [#permalink] 04 Jun 2018, 09:43
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