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?
+592 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 :)
