A collection of books went on sale, and 2/3 of them were

Question

A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?

A) $180
B) $135
C) $90
D) $60
E) $54

GyanOne · Answer

If 36 books constitute 1/3rd of the total, then 2/3rd of the total = 72 books
Amount received for sold books = 72 * 2.5 = $180

Option (A)

Bunuel · Answer

A collection of books went on sale, and 2/3 of them were sold for $2.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?

A. $180
B. $135
C. $90
D. $60
E. $54

Since 2/3 of the books in the collection were sold, 1/3 were not sold. The 36 unsold books represent 1/3 of the total number of books in the collection, and 2/3 of the total number of books equals 2(36) or 72. The total proceeds of the sale was 72($2.50) or $180. The best answer is therefore A.

Answer: A.

PareshGmat · Answer

Let total books = x

Sold  = \frac{2x}{3}

Remaining = \frac{x}{3} = 36

x = 108

Amount obtained  = 2 * \frac{108}{3} * 2.5

= 180

Answer = A

kentash · Answer

The total number of books: x. Rewrite 2.50 as 5/2. The question asks for: 2x/3 * 5/2 = 5x/3.

The number of unsold books: x/3 = 36, x = 36*3. So 36*3 * (5/3) = 180. The answer is A.

sashiim20 · Answer

Let total number of books be X. \frac{2}{3} books were sold. 36 remaining books were not sold. Therefore \frac{1}{3} of X books were not sold. \frac{1}{3} * X = 36 X = 108 \frac{2}{3} x 108 = 72 72 books were sold for $2.50 each. Total amount received for the books that were sold = 72 x 2.50 = $180 Answer A... _______________ Kindly press "+1 Kudos" to appreciate

Abhishek009 · Answer

We have -

So, 1/3 represents 36

So, the total no of books is  36*3 = 108  books

Revenue generated is  \frac{2}{3}*108*2.50 = 180

Thus, answer must be (A) 180

JeffTargetTestPrep · Answer

Since 2/3 of the books were sold, 1/3 were not sold. Since 36 books were not sold, we can create the following equation in which x = the total number of books.
 
(1/3)x = 36
 
x = 108
 
Thus, (2/3)(108) = 72 books were sold. Since each book was sold for $2.50, a total of 72 x 2.5 = $180 was made on the sale of the books.
 
Answer: A

Hovkial · Answer

OFFICIAL GMAT EXPLANATION

Since 2/3 of the books in the collection were sold, 1/3 were not sold. The 36 unsold books represent 1/3 of the total number of books in the collection, and 2/3 of the total number of books equals 2(36) or 72. The total proceeds of the sale was 72($2.50) or $180. The best answer is therefore A.

MathRevolution · Answer

Sold:  \frac{2}{3}   .   Therefore, unsold were  \frac{1}{3}  * Total which are 36

Total books: 3 * 36 = 108

Sold:  \frac{2}{3}  * 108 = 72

Each price: $2.50

Overall price: 72 * 2.50 = 180

Answer A

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