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

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Intern
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Joined: 29 Mar 2013
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Kudos [?]: 5 [0], given: 12

A man buys 20 pens and 12 books for Rs. 320. He sells pens [#permalink] New post 02 Apr 2013, 12:05
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E

Difficulty:

  5% (low)

Question Stats:

67% (01:27) correct 33% (00:00) wrong based on 6 sessions
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

Please help!!!
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Apr 2013, 12:07, edited 1 time in total.
Renamed the topic and edited the question.
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Kudos [?]: 59 [0], given: 6

Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens [#permalink] New post 02 Apr 2013, 14:52
Are you sure this problem is well formulated?
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Intern
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Joined: 29 Mar 2013
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Kudos [?]: 5 [0], given: 12

Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens [#permalink] New post 02 Apr 2013, 15:28
I found this one on some site,

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

but couldn't get answer.
Do you think something's missing??

johnwesley wrote:
Are you sure this problem is well formulated?
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Location: Pune, India
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Kudos [?]: 4484 [0], given: 162

Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens [#permalink] New post 02 Apr 2013, 20:50
Expert's post
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

Please help!!!


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
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Re: A man buys 20 pens and 12 books for Rs. 320. He sells pens [#permalink] New post 04 Apr 2013, 06:38
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

Please help!!!


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, 06:38
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A man buys 20 pens and 12 books for Rs. 320. He sells pens

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