SOLUTION: What single discount is equivalent to two successive discounts of 15% and 7%?

SOLUTION: What single discount is equivalent to two successive discounts of 15% and 7%?

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Question 542359: What single discount is equivalent to two successive discounts of 15% and 7%?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The first discount is represented by the equation: x-0.15x = 0.85x where x is the original price.

The second discount is

0.85x - 0.07*0.85x

0.85x - 0.0595x = 0.7905x

So the final price is 79.05% of the original price.

So the combined discount is 100% - 79.05% = 20.95%
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