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

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

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New post 21 Feb 2019, 00:24
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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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Re: The average price of 10 books is Rs.12 while the average price of 8 of  [#permalink]

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New post 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.

A is the correct answer.
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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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New post 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
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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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