SOLUTION: a bookseller reduced the price of book from $180 to $171 on the occasion of annual clearance sale. if the book sold out at the original price yielded the book seller 25% profit, wh

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: a bookseller reduced the price of book from $180 to $171 on the occasion of annual clearance sale. if the book sold out at the original price yielded the book seller 25% profit, wh      Log On


   



Question 246036: a bookseller reduced the price of book from $180 to $171 on the occasion of annual clearance sale. if the book sold out at the original price yielded the book seller 25% profit, what was the percentage of profit if the book was sold at the reduced price?
Answer by marcsam823(57) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = what the bookseller paid for the book (cost)
Let .25x = profit
Determine the bookseller's cost:
x+%2B+.25x+=+180
1.25x+=+180
x+=+144
The bookseller paid $144 for the book

Next determine what percentage of profit the bookseller would make at the reduced $171 price.
Let r = the percentage
Let 144r = the total profit at the reduced price.
(The cost to the bookseller is still $144)

144+%2B+r%28144%29+=+171
144r+=+29
r+=+29%2F144
r = .2013 or 20.13%