CAT 2021 Slot 1 · Quant · Question 8
CAT 2021 Slot 1 previous year question on Percentage, with the answer and a step-by-step solution.
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
- A135
- B124
- C127
- D144
Pick an option, then check.
Answer & solution
Answer: Option C
Let the small box cost x and weigh {w}_{1}, and
the large box cost 2x and weigh {w}_{2}.
Then \frac{2x}{{w}_{2}}=0.88\times \frac{x}{{w}_{1}}, so \frac{{w}_{2}}{{w}_{1}}=\frac{2}{0.88}\approx 2.2727.
The excess is \left( 2.2727-1 \right)\times 100\approx 127\%.
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