Percentages Question 6 - CAT 2021
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
Step-by-Step Explanation
Assume:
- Price of Small box = Rs.100
- Price of Large box = Rs.200
Let the weights be S grams and L grams.
Since the price per gram in the Large box is 12% less,
200 / L = 0.88 × 100 / S
Solving,
L / S = 25 / 11
Percentage by which the Large box exceeds the Small box:
(25 / 11 − 1) × 100 ≈ 127%
Hence, the correct answer is Option B.
💡 FundaMakers Tip: Assume convenient prices (like ₹100 and ₹200) whenever percentage changes involve ratios. It keeps the calculations simple.