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# The average price of 10 books is Rs.12 while the average price of 8 of

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
The average price of 10 books is Rs.12 while the average price of 8 of  [#permalink]

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21 Feb 2019, 00:24
00:00

Difficulty:

25% (medium)

Question Stats:

100% (02:21) correct 0% (00:00) wrong based on 8 sessions

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The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

A. Rs.10, Rs.16
B. Rs.12, Rs.18
C. Rs.14, Rs.20
D. Rs.16, Rs.24
E. Rs.18, Rs.26

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Joined: 31 Oct 2013
Posts: 1471
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The average price of 10 books is Rs.12 while the average price of 8 of  [#permalink]

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21 Feb 2019, 02:56
Bunuel wrote:
The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

A. Rs.10, Rs.16
B. Rs.12, Rs.18
C. Rs.14, Rs.20
D. Rs.16, Rs.24
E. Rs.18, Rs.26

Total cost of 10 books = 10*12 = 120.

Total cost of 8 books = 8 * 11.75 = 94

Total cost of the remaining 2 books = 26.

NOTE: the price of one book is 60% more than the price of the other. It can be translated as follows:

let price of 1 book is x. other must be 160% of x. 160/100 * x = 1.6x.

x + 1.6x = 26

2.6x = 26

x = 26/2.6

x = 260 / 26.

x = 10.

cost of a book = 10

cost of the other one = 1.6*10 = 16.

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Joined: 18 Aug 2017
Posts: 4999
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Concentration: Sustainability, Marketing
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Re: The average price of 10 books is Rs.12 while the average price of 8 of  [#permalink]

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21 Feb 2019, 09:12
Bunuel wrote:
The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

A. Rs.10, Rs.16
B. Rs.12, Rs.18
C. Rs.14, Rs.20
D. Rs.16, Rs.24
E. Rs.18, Rs.26

cost of 8 books = 11.75*8 = 94
and 2 books = 120-94 ; 26
so for 2 books ; x+1.6x= 26
x= 10
and 1.6x = 16
IMO A
Re: The average price of 10 books is Rs.12 while the average price of 8 of   [#permalink] 21 Feb 2019, 09:12
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