CAT 2017 Question Paper | Quants Slot 1

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

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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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Explanatory Answer

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.
CAT 2017 Question Paper Quants Slot 1 Ratio and Proportions
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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