Richard’s store sells pineapples and grapefruits. Pineapples originally cost $5.15 apiece, and grapefruits originally cost $2.25 apiece. Richard reduced the prices to $3.88 for a pineapple and $1.56 for a grapefruit. Which fruit had its price reduced by a greater percent, and how many percentage points greater was that reduction than the other? Round to two decimal places. (Express your answer in percentage points; for example, 15% is 3 percentage points greater than 12%.)
Answer
A
The price of pineapples experienced a reduction 5.99 percentage points greater than the price of grapefruits.
B
The price of pineapples experienced a reduction 19.90 percentage points greater than the price of grapefruits.
C
The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.
D
The price of grapefruits experienced a reduction 11.50 percentage points greater than the price of pineapples.
Explanation
A pineapple’s price fell by $5.15 − $3.88 = $1.27, which is ($1.27 ÷ $5.15) × 100 ≈ 24.66%. A grapefruit’s price fell by $2.25 − $1.56 = $0.69, which is ($0.69 ÷ $2.25) × 100 ≈ 30.67%. The grapefruit reduction was 30.67% − 24.66% = 6.01 percentage points greater, so the correct choice is the one stating that grapefruits had the greater reduction by 6.01 percentage points.
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