Question

After a 17% price reduction, a boat sold for 28,220. What was the boat's price before the reduction?

Answer 1

The boats price before the reduction was $33,975.90

Explanation:

The person got the boat for 83% of the original price (100% - 17% = 83%.

Therefore if you find what #28,220 is 83% of you will find the price before the reduction. Therefore:

83% of x = 28,200

`83/100 xx x = 28200`

Solving for `x` while keeping the equation balanced gives:

`(100/83) xx (83/100) xx x = 28200 xx (100/83)`

`1 xx x = 2820000/83`

`x = 33975.90` rounded to the nearest penny.