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

The correct option is A.

Let the numbers of large, super, and jumbo packets of popcorn in stock be 7x, 17x, and 16x respectively.
The total number of popcorn packets is:
7x + 17x + 16x = 40x

Similarly, let the numbers of large, super, and jumbo packets of chips in stock be 6y, 15y, and 14y respectively.
The total number of chips packets is:
6y + 15y + 14y = 35y

It is given that the total number of popcorn packets is equal to the total number of chips packets:
40x = 35y
Which simplifies to:
8x = 7y
Or,
$\frac{x}{y}=\frac{7}{8}$

We need to find the ratio of the number of jumbo popcorn packets to jumbo chips packets:
Ratio = $\frac{16x}{14y}=\frac{8}{7}\times \frac{x}{y}$

Substituting the value of $\frac{x}{y}$ in the equation:
Ratio = $\frac{8}{7}\times \frac{7}{8}=1$ (which is 1:1)

Let's re-verify the math:
If 8x = 7y, then $x=\frac{7y}{8}$.
Number of jumbo popcorn packets = 16x = $16\left(\frac{7y}{8}\right)=14y$.
Number of jumbo chips packets = 14y.
Therefore, the ratio of jumbo popcorn to jumbo chips is 14y : 14y, which is 1 : 1.

Wait, let's look at the options. Option A is 1:1, Option B is 8:7. Since the ratio is indeed 1:1, the correct option is A (Option A).