+0  
 
0
26
1
avatar

At first a price was decreased by 12%, then it was discounted again by an addiitional 5%.  What is the percent of the total discount?

 

Why is the answer not 17?

 Feb 14, 2021
 #1
avatar+268 
0

The answer isn't 17 because you're discounting something that is already discounted.. 

 

First discount --> x * 0.88 


Second discount --> x * 0.88 * 0.95 = 0.836

 

(1 - 0.836) * 100 = 0.164 * 100 = 16.4%


Proof:

Let's say x = 100 for ease.

 

You discount 12%, which means you take off 12 dollars. 

100 - 12 = 88 dollars left.

 

Now from that 88 dollars, you discount another 5%. This means:
88 - (88 * 0.05) 

= 88 - 4.4

= 83.6

 

100 - (100 * 0.164) = 83.6 

 

Hope that helps :)

 Feb 14, 2021

68 Online Users

avatar
avatar
avatar