Question

There are two types of boxes small and large. Identical sweets are sold in these two types of boxes and selling price of larger box is 50% more than selling price of small box. The selling price per gram of sweets in large box is 24% less than selling price per gram of sweets in small box. Find by what percent (approx.) the weight of sweets in larger box exceeds that of in small box.

A 95 Correct Answer Incorrect Answer
B 96 Correct Answer Incorrect Answer
C 98 Correct Answer Incorrect Answer
D 92 Correct Answer Incorrect Answer
E 97 Correct Answer Incorrect Answer

Solution

Let the selling price of small box = 2a So, selling price of large box = 2a × (150/100) = 3a Let weight of small and larger box be 100 and q respectively Given, selling price per gram of sweets in large box is 24% less than selling price per gram of sweets So, (2a/100)  × 0.76 = 3a/q q = 300/1.52 =197.36 ≈ 197 So, weight of sweets in larger box exceeds by 97% that of in small box

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