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# 30 students decided to buy an article. At the last moment 5 students

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Manager
Joined: 11 Jul 2016
Posts: 54
Location: India
Concentration: Technology, General Management
GMAT 1: 550 Q36 V30
GPA: 3.65
WE: Information Technology (Consulting)
30 students decided to buy an article. At the last moment 5 students [#permalink]

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16 Nov 2017, 12:17
3
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:16) correct 30% (01:25) wrong based on 66 sessions

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30 students decided to buy an article. At the last moment 5 students backed out because of which each student had to pay \$16 extra. What was the cost of article?

A. 30
B. 80
C. 150
D. 175
E. 2400

Source: Experts' Global
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Joined: 22 May 2016
Posts: 1829
Re: 30 students decided to buy an article. At the last moment 5 students [#permalink]

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16 Nov 2017, 13:25
1
Sangeeta2018 wrote:
30 students decided to buy an article.At the last moment 5 students backed out because of which each student had to pay \$16 extra.What was the cost of article?

1.30
2.80
3.150
4.175
5.2400

Source: Experts' Global

This question is a bit tricky, because if you use cost per person, you have one more step: the cost of the item.

When 25 students pay for an item, it costs \$16 more per person than it does when 30 students buy the same article.

Let cost per person = x
30x = 25(x + 16)
30x = 25x + 400
5x = 400
x = 80

So the cost of the article is
(30)(\$80) = \$2,400

Check for accuracy:

Cost per person when 25 buy?
Cost per person = (x + 16) = (80 + 16)= \$96
Total cost? (\$96)(25) = \$2,400
A match. Correct.

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Joined: 02 Sep 2009
Posts: 47109
Re: 30 students decided to buy an article. At the last moment 5 students [#permalink]

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16 Nov 2017, 23:03
Sangeeta2018 wrote:
30 students decided to buy an article. At the last moment 5 students backed out because of which each student had to pay \$16 extra. What was the cost of article?

A. 30
B. 80
C. 150
D. 175
E. 2400

Source: Experts' Global

30 - 5 = 25 students paid \$16 extra, so paid total of 16*25 = \$400 extra, which is the amount 5 people were supposed to pay.

5 people = \$400 means that 30 people = 400*6 = \$2400.

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Re: 30 students decided to buy an article. At the last moment 5 students [#permalink]

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17 Nov 2017, 08:02
Sangeeta2018 wrote:
30 students decided to buy an article. At the last moment 5 students backed out because of which each student had to pay \$16 extra. What was the cost of article?

A. 30
B. 80
C. 150
D. 175
E. 2400

Source: Experts' Global

P: price of the item
expected price per person = P/30

after 5 folks backed out-
P = 25((P/30) +16)
P = (5/6)(480 +P)
P = 2400
---E---
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Manager
Joined: 15 May 2010
Posts: 173
Location: India
Concentration: Strategy, General Management
WE: Engineering (Manufacturing)
30 students decided to buy an article. At the last moment 5 students [#permalink]

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17 Nov 2017, 23:26
But question stem says as to what's the cost of article.

How cost of article is 30x80? . This number is the cost to 30 person. Not to the cost of article.

Sent from my iPhone using GMAT Club Forum
Math Expert
Joined: 02 Sep 2009
Posts: 47109
Re: 30 students decided to buy an article. At the last moment 5 students [#permalink]

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18 Nov 2017, 01:50
sun01 wrote:
But question stem says as to what's the cost of article.

How cost of article is 30x80? . This number is the cost to 30 person. Not to the cost of article.

Sent from my iPhone using GMAT Club Forum

30 people are buying ONE item ans are splitting the price equally among themselves.
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Re: 30 students decided to buy an article. At the last moment 5 students [#permalink]

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20 Nov 2017, 12:31
Sangeeta2018 wrote:
30 students decided to buy an article. At the last moment 5 students backed out because of which each student had to pay \$16 extra. What was the cost of article?

A. 30
B. 80
C. 150
D. 175
E. 2400

Let x = the cost each student had to pay originally. Thus, we have:

30x = 25(x + 16)

30x = 25x + 400

5x = 400

x = 80

Since each student originally had to pay \$80, the cost of the article is 30 x 80 = \$2,400.

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Re: 30 students decided to buy an article. At the last moment 5 students   [#permalink] 20 Nov 2017, 12:31
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