CAT 2021 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 3

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 3 : 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

  1. 127
  2. 135
  3. 124
  4. 144

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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, \\frac{x}{100}) x 0.88 = \\frac{2 x}{y})
y = \\frac{200}{0.88})
y \\cong) 227
Hence, the weight of chocolate in a large box exceeds 127% of that of a small box.
Hence the answer is 127.


The answer is '127'

Choice A is the correct answer.

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