Ratio, Proportion and Percentages Puzzle – Challenge 28
Ratio, Proportion and Percentages Puzzle - Challenge 28 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
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.
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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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