The owner of a bookstore bought 1700 copies of a certain work at $14 each. If during the transfer he suffers a theft in which 358 copies are lost, at what price should he sell each of the remaining books so that his total profit is $4,382 despite the theft?

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Answer to a math question The owner of a bookstore bought 1700 copies of a certain work at $14 each. If during the transfer he suffers a theft in which 358 copies are lost, at what price should he sell each of the remaining books so that his total profit is $4,382 despite the theft?

$Expert avatar$

Brice

4.8

113 Answers

1. Calculate the total cost of buying the books:

1700 \times 14 = 23800

dollars.
2. Calculate the remaining number of books after theft:

1700 - 358 = 1342

books.
3. Calculate the total revenue needed for the desired profit:

23800 + 4382 = 28182

dollars.
4. Set up an equation to find the price per book:

1342x = 28182

.
5. Solve for $ x $ (price per book):

x = \frac{28182}{1342} \approx 21

dollars.

Answer: Sell each book for approximately

dollars.

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