Challenge:
During last three years, the price of a car is 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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The correct answer is C.
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.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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