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?
![A grapefruit is 8 heavier than an orange and an apple is 10 lighter than theorangeBy what percentage is the grapefruit heavier than the apple class=](https://us-static.z-dn.net/files/d13/90511b79826803b13956e378ada74a57.png)
Hence, the grapefruit is 20% heavier than the apple.
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:
[tex]=\dfrac{1.08x-0.90x}{0.90x}\times 100\\\\\\=\dfrac{0.18x}{0.90x}\times 100\\\\\\=\dfrac{18}{90}\times 100\\\\\\=20\%[/tex]