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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] New post 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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Re: 35 percent of the books in Richard’'s collection [#permalink] New post 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] New post 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.

Answer: C.

Hope it's clear.
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Re: 35 percent of the books in Richard’'s collection [#permalink] New post 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   [#permalink] 23 Aug 2012, 00:59
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