Percent of a percent: the SAT math trap
Short answer: Stack percents by multiplying: 0.8 × 0.8 = 0.64. Never add them.
The trap, in one question
A $100 jacket is 20% off, then another 20% off at checkout. What is the total discount?
Tempting answer: 40% (20 + 20)
Correct answer: 36% ($100 × 0.8 × 0.8 = $64)
Watch it in under a minute
How to spot it in 3 seconds
Stack percents by multiplying: 0.8 × 0.8 = 0.64. Never add them.
FAQ
What is the percent of a percent trap on the SAT?
Example: A $100 jacket is 20% off, then another 20% off at checkout. What is the total discount? The tempting answer is 40% (20 + 20); the correct answer is 36% ($100 × 0.8 × 0.8 = $64).
How do you avoid the percent of a percent trap?
Stack percents by multiplying: 0.8 × 0.8 = 0.64. Never add them.
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