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hardbacks and paperbacks

by sanju09 » Sun Feb 20, 2011 11:22 pm
At a garage sale, Jeff sold 80% of his books, which include both hardbacks and paperbacks. He sold an equal number of each of the two types of books, selling all paperbacks for $1 each and all hardbacks for $3 each. How many books did Jeff own before the sale?

(1) Jeff's total revenue from the sale of his books was $32.

(2) Exactly two hardbacks and two paperbacks remained unsold after the sale.
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Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Feb 20, 2011 11:44 pm
Let number of hardbacks = H and paperbacks = P
Before the sale, number of books owned by Jeff = X

(1) 3H + P = 32 and given H = P
Solving, we get P = H = 8
Then 0.8 * X = 16, using which X can be calculated.
So, (1) is SUFFICIENT.

(2) 0.2 * X = 4, using which X can be calculated.
So, (2) is SUFFICIENT.

The correct answer is D.
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