Question 388343: A bookstore reduced the price of a book with 25%. after that the sale rose by 10%.
With how many percent rose the number of sold books?
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! let p = unit price of book , q = number of books sold.
sales before was pq. Under the new unit price 0.75p,
the new sales is 1.10pq. We have to solve for x in 1.10pq = 0.75p(q+x).
1.10pq = 0.75pq + 0.75px, or
0.35pq = 0.75px, or
0.35q = 0.75x, or x = 0.35q/0.75 = 7q/15, the increase in the quantity of books sold, corresponding to a 7*100/15% = 46.67% increase from the previous.
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