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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: 16
Followers: 1

Kudos [?]: 21 [0], given: 12

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

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02 Apr 2013, 13:05
00:00

Difficulty:

(N/A)

Question Stats:

44% (01:27) correct 56% (00:43) wrong based on 9 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

[Reveal] Spoiler: OA

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: 79
Followers: 5

Kudos [?]: 126 [0], given: 6

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
Are you sure this problem is well formulated?
Intern
Joined: 29 Mar 2013
Posts: 16
Followers: 1

Kudos [?]: 21 [0], given: 12

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: 6960
Location: Pune, India
Followers: 2024

Kudos [?]: 12704 [0], given: 221

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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Intern
Joined: 16 Jan 2013
Posts: 23
Followers: 0

Kudos [?]: 4 [0], given: 17

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
Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens   [#permalink] 04 Apr 2013, 07:38
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