During a sale, a store offered a 40% discount on a particular camera that was originally priced at $450. After the sale, the discounted price of the camera was increased by 40%. What was the price of the camera after this increase?

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Answer 1 · 2016-12-16T14:31:01

#$378.00#

Rather than simplifying the fractions I have left them as % so that you can see what is happening.

At sale time the discounted value was:

#$450-(40/100xx$450)" " ->" " $450(1-40/100)#

#" "$450xx60/100#

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After the sale the discounted price was increased by 40% giving

#($450xx60/100)+40/100($450xx60/100)#

#$450[60/100+(40/100xx60/100)]#

#$450xx21/25 = $378.00#