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.

Answer 1

Answer: c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.

Explanation:

Given: The original cost of pineapples = $5.15

The original cost of grapefruits = $2.25

After reduction in price, the new price of pineapple = $3.88

Change in price of pineapple =
`\$5.15-\$3.88=\$1.27`

Percentage change in price of pineapple=
`(1.27)/(5.15)*100= 0.246601941748\approx24.66\%`

The new price of grapefruit = $1.56

Change in price of grapefruit =
`\$2.25-\$1.56=\$0.69`

Percentage change in price of grapefruit =
`(0.69)/(2.25)*100=30.666667\approx30.67\%`

Difference in percentage =
`30.67\%-24.66\%=6.01\%`

Therefore, the price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.