Question

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%.)
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.


Please select the best answer from the choices provided

A
B
C
D

Answer 1

First compute percent reductions.

Pineapple: reduction = 5.15 − 3.88 = 1.27. Percent = 1.27 / 5.15 ≈ 0.24660194 → 24.66%.

Grapefruit: reduction = 2.25 − 1.56 = 0.69. Percent = 0.69 / 2.25 = 0.306666... → 30.67%.

Difference = 30.67% − 24.66% = 6.01 percentage points.

So grapefruits had the greater percent reduction by 6.01 percentage points — choice C.