Bodhee Prep-CAT Online Preparation

CAT 2021 Quant Question [Slot 1] with Solution 20

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
  1. 144
  2. 127
  3. 135
  4. 124
Option: 2
Solution:
Let the selling price of the Large and Small boxes of chocolates be Rs.200 and Rs.100 respectively. Let us consider that the Large box has \(L\) grams of chocolate while the Small box has \(S\) grams of chocolate.
The relation between the selling price per gram of chocolate can be represented as: \(\frac{{200}}{L} = 0.88 \times \;\frac{{100}}{S}\)
On solving we obtain the ratio of the amount of chocolate in each box as: \(\frac{L}{S} = \frac{{25}}{{11}}\)
The percentage by which the weight of chocolate in the large box exceeds that in the small box = \(\left( {\frac{{25}}{{11}} - 1} \right) \times \;100 \approx \;127\% \)
CAT Online Course @ INR 9999 only

CAT 2021 Quant questions with Solutions

CAT 2023
Classroom Course

We are starting classroom course for CAT 2023 in Gurugram from the month of December.
Please fill the form to book your seat for FREE Demo Classes

CAT 2023 Classroom Course starts in Gurgaon