Question 61

Among four books, Book1 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 Book 1. Which book is heaviest?

Solution

Let weight of Book 2 = $$2x$$ kg

=> Weight of Book 1 = $$4x$$ kg

and weight of book 3 = $$x$$ kg

Thus, weight of book 4 = $$2x+60=4x-60$$

=> $$4x-2x=60+60$$

=> $$2x=120$$

=> $$x=\frac{120}{2}=60$$

Thus, respective weights of Book 1,2,3 and 4 = $$240,120,60,180$$ kg

$$\therefore$$ Book 1 is the heaviest.

=> Ans - (A)

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