SOLUTION: What single discount is equivalent to 2 succcessive discounts of 11% and 8% ? please.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: What single discount is equivalent to 2 succcessive discounts of 11% and 8% ? please.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 630299: What single discount is equivalent to 2 succcessive discounts of 11% and 8% ? please.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose an item originally cost $100
After the 1st discount,
+100+-+.11%2A100+
+100+-+11+=+89+
It costs $89
---------
Then after the 2nd discount,
+89+-+.08%2A89+
+89+-+7.12+=+81.88+
It costs $81.88
--------------
So, after the 2 discounts, the item ended up
costing +100+-+81.88+=+18.12+ less
So, the discount is +%2818.12%2F100%29%2A100+ %
or 18.12 %