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Ratio of Jumbo Popcorn to Chips Packets

CAT 2017 Slot 1 · Quantitative Ability · Medium · Ratio and Proportions

This is a medium Quantitative Ability question from the CAT 2017 Slot 1 paper. It tests Ratio and Proportions. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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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 7:17:167 : 17 : 16 for popcorn and 6:15:146 : 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. A.

    1 : 1

  2. B.

    8 : 7

  3. C.

    4 : 3

  4. D.

    6 : 5

Answer

A

Explanation

Popcorn ratio: 7+17+16=407 + 17 + 16 = 40 parts. Chips ratio: 6+15+14=356 + 15 + 14 = 35 parts. Since total stock is equal, let total stock of each = 140140 (LCM of 40 and 35). Jumbo popcorn packets = 1640×140=56\frac{16}{40} \times 140 = 56. Jumbo chips packets = 1435×140=56\frac{14}{35} \times 140 = 56. Ratio = 56:56=1:156 : 56 = 1 : 1.

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