A price rises by and then falls by . What is the net percent change from the original price?
Answer and explanation
Correct answer: A. -35/2%
- Step 1: Express each sequential price adjustment as a fractional multiplier: an increase of gives , and a decrease of gives .
- Step 2: Multiply the two consecutive multipliers: .
- Step 3: Compute the net percentage change: .
Answer
-35/2%.
Why not the others: -15% simply adds the two percentage changes (); -45/2% subtracts from and divides incorrectly; 35/2% reverses the net sign from negative to positive; -25/2% ignores the initial increase.
Practise more Arithmetic and percents.
Free questions with an explanation for every one, and full timed GRE mock tests.