Ratio, Proportion and Percentages Puzzle – Challenge 28

Challenge:

During the last three years, the price of a car has been reduced by \(10\%\) in the first year, \(20\%\) in the second year, and \(25\%\) in the third year. What percent of the original price is the total reduction of the car’s price?

A- \(36\%\)

B- \(40\%\)

C- \(46\%\)

D- \(54\%\)

E- \(55\%\)

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Choose x for current price of the car. In the first year, the price of the car reduced to \(0.90 x\). Next year, it’ll be
\(0.90x × 0.80 = 0.72x\).
For the third year, the price of the car is: \(0.72x × 0.75 = 0.54 x\)
Therefore, \(46\%\) of the original price is the total reduction of the car’s price.

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