# CAT 2021 Slot 1

## CAT 2021 Exam Question Papers Slot 1 | CAT Quants​

### CAT Quantitative Aptitude | CAT 2021 Question Papers​

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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

5).

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

### Explanation

Let the small box and the large box are sold at x and 2x rupees respectively. Also, let weight of chocolate in small box and large box respectively is 100 gram and y gram respectively. Then

price per gram in small box = x/100 and

price per gram in large box = 2x/y

As per the question,

= = > y = 20000/88 = 2500/11 = 227

which is about 127 % more than weight of small box.

Ans (1)

Alternate Method:

Assume Small box = has 100 g of chocolate sold at Rs 1 per gram

Cost of small box = Rs 100

Therefore cost of the large box = Rs 200

Cost price of the chocolate in the large box = 0.88

Quantity = 200/0.88 = 227.27

Thus the large box  has quantity that is (227.27-100)/100 x 100 = 127 % more than the small box