Question

In a certain bookstore, 30 percent of the books that have been discounted are called bargain books and are priced below $4. If the bargain books make up 18 percent of the total number of books in the store, what percent of the books in the store are discounted?

Answer 1

Answer: the percent of the books in the store that are discounted is 60%

Explanation:

Let x represent the total number of books in the bookstore. If the bargain books make up 18 percent of the total number of books in the store, it means that the total number of bargain books in the bookstore is

18/100× x = 0.18x

Let y represent the number of books that have been discounted. 30 percent of the books that have been discounted are called bargain books. This means that

30/100 × y = × 0.18x

0.3y = 0.18x

y = 0.18x/0.3 = 0.6x

The percentage of the number of books that have been discounted would be

0.6x/x × 100/= 0.6×100 = 60%