SOLUTION: The marked price of a pillow is $240. The shop makes a profit of 28% by selling the pillow at a discount of 20%. 1. Find the cost price of the pillow. 2. If the pillow is sold at t

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The marked price of a pillow is $240. The shop makes a profit of 28% by selling the pillow at a discount of 20%. 1. Find the cost price of the pillow. 2. If the pillow is sold at t      Log On


   



Question 1174190: The marked price of a pillow is $240. The shop makes a profit of 28% by selling the pillow at a discount of 20%. 1. Find the cost price of the pillow. 2. If the pillow is sold at the marked price, find the profit percent.
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

            I will answer question  #1,  only.


Let x be the cost price of the pillow.


The shop sold the pillow at 240*0.8 = 192 dollars.


The profit was 28%.  It means that 


    192 - x = 0.28x,

or

    192 = 0.28x + x = 1.28x.


Hence,  x = 192%2F1.28 = 150.


ANSWER.  The cost price (the buying price) of the pillow was 150  dollars.

Solved.


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