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There are English and Mathematics books worth $60 and $100 respectivel

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There are English and Mathematics books worth $60 and $100 respectivel [#permalink]

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New post 19 Dec 2017, 07:20
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There are English and Mathematics books worth $60 and $100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books?

(A) 1080
(B) 2880
(C) 3600
(D) 4380
(E) 6120


New Question testing number properties
[Reveal] Spoiler: OA

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Re: There are English and Mathematics books worth $60 and $100 respectivel [#permalink]

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New post 19 Dec 2017, 07:29
chetan2u wrote:
There are English and Mathematics books worth $60 and $100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books?
(A) 1080
(B) 2880
(C) 3600
(D) 4380
(E) 6120


New Question testing number properties


Let number of English book sold be \(x\), so number of maths book sold \(=3x\). Here \(x\) is a positive integer

Total revenue \(=60*x+100*3x=360x\)

So Revenue generated will be a multiple of \(360\). Out of the options only \(4380\) is not a multiple of \(360\)

Option D
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Re: There are English and Mathematics books worth $60 and $100 respectivel [#permalink]

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New post 04 Mar 2018, 09:31
The total must be a multiple of 9 and option D is the only one that contradicts this statement.
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Re: There are English and Mathematics books worth $60 and $100 respectivel [#permalink]

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New post 04 Mar 2018, 10:40
chetan2u wrote:
There are English and Mathematics books worth $60 and $100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books?

(A) 1080
(B) 2880
(C) 3600
(D) 4380
(E) 6120


New Question testing number properties


The correct choice must not be a multiple of (3*100+60=360).
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There are English and Mathematics books worth $60 and $100 respectivel [#permalink]

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New post 04 Mar 2018, 11:04
chetan2u wrote:
There are English and Mathematics books worth $60 and $100 respectively in an exhibition. If at end of the day, the number of Mathematics book sold were three times the number of English book, which of the following cannot be the revenue generated by sale of these books?

(A) 1080
(B) 2880
(C) 3600
(D) 4380
(E) 6120

New Question testing number properties


Since the Mathematics books are 3 times the number of English books,
if there are x English books, there will be 3x Mathematics books
English - 60 - \(2^2*3*5*x\)
Mathematics - 100 - \(2^2*5^2*3*x\)

Total = \(2^2*3*5*(x + 5x) = 2^2*3^2*x*10\)

Evaluating answer options
(A) 1080 = 36*3*10
(B) 2880 = 36*8*10
(C) 3600 = 36*100
(D) 4380 is not divisble by 36
(E) 6120 - 36*17*10

Therefore, 4380(Option D) is the revenue that cannot be generated by the sale of these books.
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There are English and Mathematics books worth $60 and $100 respectivel   [#permalink] 04 Mar 2018, 11:04
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