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% is the simple difference (); 35/2% inverts the net reduction; -25/2% and -45/2% result from omitting the baseline adjustment or inverting intermediate signs.
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