At a certain university, three bookstores - the University Bookstore, the Campus Bookstore, and the Book Mart - currently serve the university community. From a survey conducted at the beginning of the fall quarter, it was found that the University Bookstore and the Campus Bookstore each had 30% of the market, whereas the Book Mart had 40% of the market. Each quarter the University Bookstore retains 80% of its customers, but loses 10% to the Campus Bookstore and 10% to the Book Mart. The Campus Bookstore retains 90% of its customers, but loses 5% to the University Bookstore and 5% to the Book Mart. The Book Mart retains 70% of its customers, but loses 10% to the University Bookstore and 20% to the Campus Bookstore.

Question

What percent of the market will each store have at the beginning of the third quarter?

a. University Bookstore: 27.15 %
Campus Bookstore: 40.45 %
Book Mart: 32.4 %
b. University Bookstore: 27.95 %
Campus Bookstore: 41.25 %
Book Mart: 30.8 %
c. University Bookstore: 30.35 %
Campus Bookstore: 42.85 %
Book Mart: 26.8 %
d. University Bookstore: 28.75 %
Campus Bookstore: 43.65 %
Book Mart: 27.6 %
e. University Bookstore: 29.55 %
Campus Bookstore: 42.05 %
Book Mart: 28.4 %

Answer 1

d. University Bookstore: 28.75 %
Campus Bookstore: 43.65 %
Book Mart: 27.6 %