Among four books, Book 1 is twice as heavy as Book 2. Book 3's weight is half of Book 2's weight. Book 4 is 60 grams more as compared to Book 2 but 60 grams less as compared to Book 1. Which book is the heaviest?

Options

A. Book 1
B. Book 2
C. Book 3
D. Book 4

Answer

A

Explanation

Suppose, the weight of Book 3 is x.
The weight of Book `2implies2x`
The weight of Book `1implies2xx2x=4x`
According to the question,
`= 2x + 60 = 4x - 60`
`implies4x -2x =60 +60`
`implies2x=120`
`:.x=(120)/(2)=60`
Book 3=60
Book `2=2x=2xx60=120`
Book 4=2x+60
`=120+60=180`
Book `1=4x=4xx60=240`
Clearly, Book 1 is the heaviest.