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# A man buys 20 pens and 12 books for Rs. 320. He sells pens

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Intern
Joined: 29 Mar 2013
Posts: 13
A man buys 20 pens and 12 books for Rs. 320. He sells pens  [#permalink]

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Updated on: 02 Apr 2013, 13:07
00:00

Difficulty:

(N/A)

Question Stats:

50% (01:46) correct 50% (03:36) wrong based on 2 sessions

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A man buys 20 pens and 12 books for Rs. 320. He sells pens at a profit of 40 % and books at a gain of 25 %. If his overall profit was Rs. 70, the cost price of the book is

A. 10
B. 12
C. 13
D. 15
E. None

Originally posted by iwantto on 02 Apr 2013, 13:05.
Last edited by Bunuel on 02 Apr 2013, 13:07, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Joined: 24 Jan 2013
Posts: 64
Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens  [#permalink]

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02 Apr 2013, 15:52
1
Are you sure this problem is well formulated?
Intern
Joined: 29 Mar 2013
Posts: 13
Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens  [#permalink]

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02 Apr 2013, 16:28
I found this one on some site,

This is what I was trying -
20x + 12y = 320
1.4*20x+1.25*12y=390

Do you think something's missing??

johnwesley wrote:
Are you sure this problem is well formulated?
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10004
Location: Pune, India
Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens  [#permalink]

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02 Apr 2013, 21:50
iwantto wrote:
A man buys 20 pens and 12 books for Rs. 320. He sells pens at a profit of 40 % and books at a gain of 25 %. If his overall profit was Rs. 70, the cost price of the book is

A. 10
B. 12
C. 13
D. 15
E. None

Overall profit = (70/320)*100 = 21.875%
This is less than the profit he made on pens as well as books which is not possible. There is something wrong with the numbers here.
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Karishma
Veritas Prep GMAT Instructor

Intern
Joined: 16 Jan 2013
Posts: 18
Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens  [#permalink]

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04 Apr 2013, 07:38
iwantto wrote:
A man buys 20 pens and 12 books for Rs. 320. He sells pens at a profit of 40 % and books at a gain of 25 %. If his overall profit was Rs. 70, the cost price of the book is

A. 10
B. 12
C. 13
D. 15
E. None

OA should be E
bcoz

Ps + Bs = 320 .....eq(1)
0.4Ps + 0.25Bs = 70 ....eq(2)

solving we get, Bs = cost price of 12 books = 5800/15
so, cost price of a book = 5800/(15*12) = 1160/9
Non-Human User
Joined: 09 Sep 2013
Posts: 14001
Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens  [#permalink]

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08 Dec 2019, 00:10
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).

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Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens   [#permalink] 08 Dec 2019, 00:10
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