SOLUTION: If the cost price of 11 shirts is equal to the selling price of 10 shirts, find the percentage profit or loss.

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Question 1016588: If the cost price of 11 shirts is equal to the selling price of 10 shirts, find the percentage profit or loss.
Found 2 solutions by FrankM, Edwin McCravy:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
I first see that the way the question is asked, we can assign any cost, and then do the math to get a percent. I'll say the shirts are selling for 1000 money units (100 each). The cost is
1000/11= 90.91
And the profit percent 100/90.91=1.10 or 10%

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A little more detail:

%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%22%22%22%2A%22100%25%22

Let w be the wholesale cost of a shirt
Let r be the retail price of a shirt.
 
%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%22%28matrix%281%2C3%2C%0D%0A+%0D%0Ar%2C%22%22-%22%22%2Cw%29%2F%0D%0Amatrix%281%2C1%2Cw%29%29%22%22%2A%22100%25%22
 
The wholesale cost of 11 shirts = 11w
The retail price of 10 shirts = 10r
 
10r%22%22=%22%2211w
 
 Divide both sides by 10:

%2810r%29%2F%2810%29%22%22=%22%22%2811w%29%2F%2810%29

r%22%22=%22%2211w%2F10

r%22%22=%22%221.1w

Substitute in 

%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%22%22%22%2A%22100%25%22

%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%22%28matrix%281%2C3%2C%0D%0A+%0D%0Ar%2C%22%22-%22%22%2Cw%29%2F%0D%0Amatrix%281%2C1%2Cw%29%29%22%22%2A%22100%25%22

%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%22%22%22%2A%22100%25%22

%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%22%22%22%2A%22100%25%22


%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%22%280.1w%29%2F%0D%0Amatrix%281%2C1%2Cw%29%29%22%22%2A%22100%25%22

%28matrix%282%2C1%2CPercent%2Cprofit%29%29%22%22=%22%220.1%22%22%2A%22100%25%22%22%22=%22%22%2210%25%22

Edwin