SOLUTION: What single discount is equivalent to two successive discounts of 11% and 8%?

Question 507746: What single discount is equivalent to two successive discounts of 11% and 8%?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
p = price
11% discount means the price is 89% of the original
8% discount means the price is 92% of the original
.
(.89 * p)*.92 = .8188
1 - .8188 = 1812.
18.12% discount is equivalent to an initial 11% discount followed by an 8% discount.
.
To check, pick a value.
Say $10.
.
.89* $10 = 8.90
.92* $8.90 = 8.188
Correct.
.
Answer: A single discount of 18.12% is equivalent to an 11% discount followed by an 8% discount.
.
Done.
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