Average, Mixture and Alligation Question 8 - CAT 2021

Step-by-Step Explanation

Let the price of the small box be ₹100, and its chocolate weight be S grams.

Price of the large box = ₹200 (twice the small box).

Let the chocolate weight of the large box be L grams.

• Set up the unit price comparison per gram:

Price per gram (Small Box) = 100 / S

Price per gram (Large Box) = 200 / L

We are given that the unit price of the large box is 12% less than that of the small box:

200 / L = 0.88 × 100 / S

200 / L = 88 / S ⟹ L / S = 200 / 88 = 25 / 11

This ratio implies that for every 11 grams of chocolate in the small box, the large box contains 25 grams.

Percentage Excess = ((25 − 11) / 11) × 100%

= 14 / 11 × 100%

≈ 127.27%

The nearest integer value is 127%.

Correct Option: B

💡 FundaMakers Tip:

When handling commercial pricing models, remember the core structural relationship:

Weight = Total Price / Unit Cost.

Using the given adjustments, the weight ratio is:

L / S = Price Multiplier / Unit Cost Multiplier = 2 / 0.88 = 200 / 88

This shortcut eliminates the need to carry placeholder variables and isolates the percentage excess directly.