sujoykrdatta
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:
A. 127
B. 131
C. 135
D. 144
E. 154
Let the price of the small box is p and thus, the price of the large box is 2p
Let the weights of chocolates in the small box and the large box are S grams and L grams respectively.
Selling price per gram of chocolate in the large box = 2p/L
Selling price per gram of chocolate in the small box = p/S
Selling price per gram of chocolate in the large box is 12% less than that in the small box
=> Selling price per gram of chocolate in the large box is 88% of that in the small box
=> 2p/L = 88% of p/S
=> 2p/L = 88p/(100S)
=> 2/L = 22/(25S)
=> L/S = 25/11 = 2.27
=> L = 2.27S
=> L is 227% of S
=> L is 127% more than S
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