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35 percent of the books in Richard's collection are novels

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35 percent of the books in Richard's collection are novels [#permalink]

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22 Aug 2012, 19:52
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35 percent of the books in Richard's collection are novels and 60 percent of the books are paperbacks. If 20 percent of the paperbacks in Richard's collection are novels published before 1940, how many of the paperbacks in Richard's collection are novels published before 1940.

(1) Non-ction books make up exactly half of Richards collection.
(2) 100 of the books in Richards collection are non-fiction.

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[Reveal] Spoiler: OA

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Re: 35 percent of the books in Richard's collection [#permalink]

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22 Aug 2012, 20:56
metallicafan wrote:
35 percent of the books in Richard's collection are novels and 60 percent of the books are paperbacks. If 20 percent of the paperbacks in Richard's collection are novels published before 1940, how many of the paperbacks in Richard's collection are novels published before 1940.
(1) Non-ction books make up exactly half of Richards collection.
(2) 100 of the books in Richards collection are non-fiction.

Source: http://www.gmathacks.com

Question is not very clear to me.
Is it safe to assume that non-fiction books are novels?
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Re: 35 percent of the books in Richard's collection [#permalink]

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23 Aug 2012, 00:17
Capricorn369 wrote:
metallicafan wrote:
35 percent of the books in Richard's collection are novels and 60 percent of the books are paperbacks. If 20 percent of the paperbacks in Richard's collection are novels published before 1940, how many of the paperbacks in Richard's collection are novels published before 1940.
(1) Non-ction books make up exactly half of Richards collection.
(2) 100 of the books in Richards collection are non-fiction.

Source: http://www.gmathacks.com

Question is not very clear to me.
Is it safe to assume that non-fiction books are novels?

Actually we don't need to know that to answer the question.

35 percent of the books in Richard's collection are novels and 60 percent of the books are paperbacks. If 20 percent of the paperbacks in Richard's collection are novels published before 1940, how many of the paperbacks in Richard's collection are novels published before 1940.

Say Richard has total of x books, then he has 0.6x paperbacks and 0.2*(0.6*x) paperback novels published before 1940. So, basically all we need to know in order to answer the question is the total number of book Richard has (x).

(1) Non-ction books make up exactly half of Richards collection. Clearly insufficient.
(2) 100 of the books in Richards collection are non-fiction. Clearly insufficient.

(1)+(2) Since 100 books (no matter which books) in Richards collection compose 50% (exactly half) of his collection, then the total number of books in the collection is 200, so Richard has 0.2*(0.6*x)=0.2*(0.6*200)=24 paperback novels published before 1940. Sufficient.

Hope it's clear.
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Re: 35 percent of the books in Richard's collection [#permalink]

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23 Aug 2012, 00:59
novels before 1940=0.2*0.6*total

so, all we need is to find total books.

1 is not ok, since we are given that Nonfiction=1/2*total
2 is also not ok . it says that Nonfiction =100

but C (both together) gives us the number of total books
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Re: 35 percent of the books in Richard's collection are novels [#permalink]

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29 Aug 2014, 08:04
Bunuel wrote:
Capricorn369 wrote:
metallicafan wrote:
35 percent of the books in Richard's collection are novels and 60 percent of the books are paperbacks. If 20 percent of the paperbacks in Richard's collection are novels published before 1940, how many of the paperbacks in Richard's collection are novels published before 1940.
(1) Non-ction books make up exactly half of Richards collection.
(2) 100 of the books in Richards collection are non-fiction.

Source: http://www.gmathacks.com

Question is not very clear to me.
Is it safe to assume that non-fiction books are novels?

Actually we don't need to know that to answer the question.

35 percent of the books in Richard's collection are novels and 60 percent of the books are paperbacks. If 20 percent of the paperbacks in Richard's collection are novels published before 1940, how many of the paperbacks in Richard's collection are novels published before 1940.

Say Richard has total of x books, then he has 0.6x paperbacks and 0.2*(0.6*x) paperback novels published before 1940. So, basically all we need to know in order to answer the question is the total number of book Richard has (x).

(1) Non-ction books make up exactly half of Richards collection. Clearly insufficient.
(2) 100 of the books in Richards collection are non-fiction. Clearly insufficient.

(1)+(2) Since 100 books (no matter which books) in Richards collection compose 50% (exactly half) of his collection, then the total number of books in the collection is 200, so Richard has 0.2*(0.6*x)=0.2*(0.6*200)=24 paperback novels published before 1940. Sufficient.

Hope it's clear.

Actually, I kinda agree with Capricorn369. I googled the def of Novel and got this a fictitious prose narrative of book length, typically representing character and action with some degree of realism . So according to the definition, non fiction books can't be considered novels.
We know that 35% of the books are novels, so 65% are not novels aka non-fiction and we know that 100 books are non fiction. Then Bunuel, don't you think the answer could be B?
Re: 35 percent of the books in Richard's collection are novels   [#permalink] 29 Aug 2014, 08:04
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