percents

[BodybldgDoc]

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How to solve this one?

During a sale a clerk was putting a new price tag on each item. On one jacket, he accidentally raised the price by 15% instead of lowering the price by 15%. As a result the price on the tag was $45 too high. What was the original price of the jacket?
a. 60
b. 75
c. 90
d. 105
e. 150

 

[Ex_EE]

1.15x (price he raised it too) - .85x (price it should have been) = 45
.3x = 45
x=150

 

[Nasem]

Suppose:
X = old price
X - (0.15X) = new discounted price
X + (0.15X) = the mistake price

X + (0.15X) - [X - 0.15X] = 45
solve for X
0.3X = 45
X = 150

 

[thefifthbeatle]

What I did was this

I ALWAYS use an easy number for reference to get rid of answers.

I used 100. The 30% difference would mean $30. We are looking for $45. It has to be over 100. 105 is too little, 150 is correct. (in fact, the 50% difference between 100 and 150 is the same with 30 and 45)

 

[janeliu]

Thanks

 

[BodybldgDoc]

thanks guys