Question 1208921
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The solution method shown by the other tutor is fine, but it is slow and inefficient.<br>
Instead of thinking of the new price as the original price plus 20% of the original price, think of it as the old price multiplied by 100%+20% = 120%, or 1.2.<br>
And instead of thinking of the final price with an employee discount of 10% as the price minus 10% of the price, think of it as the price multiplied by 100%-10% = 90%, or by 0.9.<br>
Then the final price after the 20% increase and the reduction of 10% is<br>
(original price) * (1.2) * (0.9)<br>
{{{80(1.2)(.9)=86.4}}}<br>
ANSWER: $86.40<br>
In more complicated problems involving percent increases and/or decreases, doing the calculations as price plus or minus % of price becomes very inefficient.  Doing the calculations as price multiplied by a factor representing the price increase or decrease is always much easier.<br>