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# The cost to charter a certain airplane is x dollars. If the 25 members

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Math Expert
Joined: 02 Sep 2009
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The cost to charter a certain airplane is x dollars. If the 25 members  [#permalink]

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Updated on: 03 Jan 2019, 08:04
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:24) correct 17% (01:45) wrong based on 123 sessions

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Project DS Butler: Day 59: Data Sufficiency (DS118)

Tough and Tricky questions: Word Problems.

The cost to charter a certain airplane is x dollars. If the 25 members of a club chartered the plane and shared the cost equally, what was the cost per member?

(1) If there had been 5 more members and all 30 had shared the cost equally, the cost per member would have been $40 less. (2) The cost per member was 10 percent less than the cost per person on a regularly scheduled flight. Kudos for a correct solution. Originally posted by Bunuel on 11 Dec 2014, 07:01. Last edited by gmatbusters on 03 Jan 2019, 08:04, edited 1 time in total. Butler tag added Senior Manager Joined: 13 Jun 2013 Posts: 257 Re: The cost to charter a certain airplane is x dollars. If the 25 members [#permalink] ### Show Tags 11 Dec 2014, 12:33 4 Bunuel wrote: Tough and Tricky questions: Word Problems. The cost to charter a certain airplane is x dollars. If the 25 members of a club chartered the plane and shared the cost equally, what was the cost per member? (1) If there had been 5 more members and all 30 had shared the cost equally, the cost per member would have been$40 less.
(2) The cost per member was 10 percent less than the cost per person on a regularly scheduled flight.

Kudos for a correct solution.

here we have to calculate the value of x

st.1
$$\frac{x}{25} - \frac{x}{30}$$ $$=40$$
$$x\frac{(6-5)}{150}=40$$

$$x=6000$$

hence sufficient

st.2 since we don't know the cost of regular scheduled flight. hence st.2 alone is insufficient to answer the question.

hence A
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Re: The cost to charter a certain airplane is x dollars. If the 25 members  [#permalink]

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12 Dec 2014, 05:22
1
Statement 1 means that(x/30)=((x/25)-40). Hence we can find x
Statement 2 gives no additional information to find cost per person on regular flight. Hence answer A
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Re: The cost to charter a certain airplane is x dollars. If the 25 members  [#permalink]

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03 Jan 2019, 11:50
gmatbusters wrote:

Project DS Butler: Day 58: Data Sufficiency (DS116)

Bumping for DS Butler Project

Is it just me or is answer choice B so irrelevant that it reminds one of a CR answer choice rather than of a DS statement?
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Re: The cost to charter a certain airplane is x dollars. If the 25 members  [#permalink]

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12 Aug 2019, 05:01
question: x/25=Cpm Cpm=?

Statement1: x/(25+5)=Cpm-40. We can find Cpm by substitution -->sufficient
Statement2: We don't know the cost per person of regular flight --> insufficient
Re: The cost to charter a certain airplane is x dollars. If the 25 members   [#permalink] 12 Aug 2019, 05:01
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