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Bunuel
A baseball card decreased in value 20% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?

A. 28%
B. 30%
C. 32%
D. 36%
E. 72%

Method 1: Formula for successive percentage decrease/increase
If there is a decrease of a and b percent for 2 years, we can use
Total percentage decrease = - a - b + (ab/100)
The sign of a and b can change corresponding to an increase/decrease.
+ sign for increase and - sign for decrease.


Putting the values, total decrease = - 20 - 10 + 2 = -28
Or 28% decrease.
Option A

Method 2:
Assume the initial value = 100
Value after first decrease = 80
Value after second decrease = 72
Hence total decrease = 100 - 72 = 28%
Option A
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Bunuel
A baseball card decreased in value 20% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?

A. 28%
B. 30%
C. 32%
D. 36%
E. 72%

In two years the card is worth 0.8 x 0.9 = 0.72 = 72% of its original value, which is a 28% decrease from its original value.

Answer: A
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