Question

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than theorange.By what percentage is the grapefruit heavier than the apple?

Answer 1

Hence, the grapefruit is 20% heavier than the apple.

Explanation:

Let the weight of orange be x.

This means that the weight of grapefruit is:

1.08x

( Since grapefruit is: 8% heavier than orange )

Also, the weight of apple is 10% lighter than apple.

This means that the weight of apple is: 0.90 x

Hence, the percent change in the weight of grapefruit as compared to apple is calculated by:

`=(1.08x-0.90x)/(0.90x)* 100\\\\\\=(0.18x)/(0.90x)* 100\\\\\\=(18)/(90)* 100\\\\\\=20\%`