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

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

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New post Updated on: 02 Apr 2013, 13:07
00:00
A
B
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D
E

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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

Please help!!!

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

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

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New post 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

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

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New post 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

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

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New post 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

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

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

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