Percentage word problem

Question

 A store sells CDs at 20% off the displayed price. The store buys copies of a CD for $12 each. If the store owner wants to make a 10% profit on the CDs, what price should she list for each CD?

Answer 1

Let's say the store owner buys for C.

He can make 10 % profit if he sells for 1.1 C

However, since he is offering a discount of 20 %, his selling price has to be higher if he still wants to make a 10% profit.

Whatever he sells for,  80% of His selling price =  (1.1C)

Selling price = 1.1C/ 0.8 = 1.375 C

Since C = 12, the selling price = 1.375 x 12 = 16.50

Answer 2

Nora,

 

The CDs are $12 each for the company.  The store owner wants to make 10% profit.  

 

So 10% of twelve is $1.20, so add 1.20 to the store price:

 

12 + 1.20 = 13.20 would be the CD price that she wants.  But the store cells CDs for a 20% discount

 

So she should add 20% back to the price

 

.2 * 13.20 = 2.64 That means she should price the CDs at

 

13.20 + 2.64 = 15.84 + more to make it so she gets at least the 13.20 that she wants.  Say 16.50 is the posted price.  

Then when the store takes off 20% = 3.30 they end up paying only 16.50 - 3.30 = 13.20!

 

So she prices the CDs at $16.50 but sells them at $13.20  that way she makes the 1.20 that she wants.  

 

 

 

 

Answer 3

(1-,2)x -12 -=  12  This say 80% if his sales price minus his &12purchae price = $12 (100% profit)

 

.8x = 24

 

x = 24/.8  =  30 is the price

 

Note   20% of 30 is 6 and 30 -6  =24

 

If he buys them for $12 each he will make a profit of $12 which is 100% of the purchase price.