CAT 2021 Slot 1 QA Question 18: 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 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 1

Accepted Answer

$2S$.
The price per gram in the large box is 12% less than that in the small box.
$\dfrac{2S}{W} = 0.88 	imes \dfrac{S}{w}$
$\dfrac{W}{w} = \dfrac{2}{0.88} = \dfrac{25}{11}$
So the percentage by which the large box weight exceeds the small box weight is
$(\dfrac{25}{11} - 1) 	imes 100 = \dfrac{14}