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Given that after a 15% price reduction, a boat sold for $15,200. Now we have to find the boats price before the reduction.
Let the boats price before the reduction = x
Reduction = 15% of original price = 15% of x = 0.15x
Then selling price will be difference of original price and reduction
Selling price = Origina price - Reduction
15200 = x - 0.15x
15200 = 0.85x
17882.3529412=x
Hence origina price before reduction is approx $17882.35