Question

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

• A. 1 : 1
• B. 8 : 7
• C. 4 : 3
• D. 6 : 5

Answer 1

The correct option is A

1 : 1

Let the number of large size, super size and jumbo size popcorn packets be 7x, 17x and 16x respectively.
Let the number of large size, super size and jumbo size chips packets be 6y, 15y and 14y respectively.
Given, $7x+17x+16x=6y+15y+14y=>40x=35y\Rightarrow \frac{x}{y}=\frac{7}{8}\dots \dots i)$
Now, number of jumbo popcorn packets/ number of jumbo chips packets = $\frac{16x}{14y}=\left(\frac{8}{7}\right)\times \left(\frac{7}{8}\right)=1$
Hence, ratio required = 1 : 1