# Ratio, Proportion and Percentages Puzzle – Challenge 28

This is a great math and critical thinking challenge to strengthen a child's grasp of math concepts in a fun way.

## 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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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.

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