Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for&nbsp;twice the price of the small box. If the selling price per gram of chocolate in the large box is 12%&nbsp;less than that in the small box, then the percentage by which the weight of chocolate in the large&nbsp;box exceeds that in the small box is nearest to

CAT 2021 Question Paper | CAT Verbal Ability Slot 1

Question :

Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to

Started 2 days ago by Shashank in

0 7

A.
127
B.
135
C.
144
D.
124

Option A is the correct answer.

Explanatory Answer

Let's consider the selling prices of small and large chocolate boxes be ‘x’ and ‘2x’ respectively.
Let's also consider the weights of the small and large chocolate boxes to be 100(to make it easy) and y respectively.
Given that, the selling price per gram of chocolate in the large box is 12% less than that in the small box.
Therefore,

Hence, the weight of chocolate in a large box exceeds 127% of that of a small box.
Hence the answer is 127.