# CAT 2017 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Ratio and Proportions Questions | Question 10

CAT previous year paper questions from Ratio and proportions is a part of CAT arithmetic in the CAT Exam. This topic is regularly tested and has been constantly appearing in Quantitative Aptitute section of CAT Exam. Ratio and proportion is a very intersting topic as it is relatable and can be applied to real life scenarios. When the ratios of two different quantities are given how to navigate yourself through and find out the new ratio which has been asked in the question.

Question 10 : A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio:

1. 1 : 1
2. 8 : 7
3. 4 : 3
4. 6 : 5

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##### Method of solving this CAT Question from Ratio and Proportions

There are 3 variants: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. From this we get,
Popcorn 7x + 17x + 16x = 40 x
Chips 6y + 15y + 14y = 35y
Now let us bring them together into the same metric by taking the LCM of 40 and 35 which is equal to 280.

So the ratio of the number of jumbo popcorn packets to the chips packets is
= 16 × 7 : 14 × 8
= 1 : 1
Jumbo popcorn packets and jumbo chips packets are in the ratio of 1 : 1.

The question is "A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio:"

##### Hence, the answer is 1 : 1

Choice A is the correct answer.

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