This problem asks for the cost of 12 apples, assuming direct proportionality.

Given:

• The cost of 7 apples is ₹56.
• We need to find the cost of 12 apples.

Since the relationship is directly proportional, we can use the formula:

$\frac{\text{Cost of 7 apples}}{7} = \frac{\text{Cost of 12 apples}}{12}$

Substitute the known values into the equation:

$\frac{56}{7} = \frac{x}{12}$

Now solve for $x$, which is the cost of 12 apples:

$x = \frac{56 \times 12}{7} = \frac{672}{7} = 96$

Thus, the cost of 12 apples is ₹96.

The correct answer is:

a) ₹96

Let me know if you'd like any further explanation or assistance with other problems!

Here are some related questions:

1. What is the formula for direct proportion?
2. How can you solve problems with direct proportions when more than two variables are involved?
3. Can you solve similar problems involving different units, such as weight or time?
4. What is the difference between direct and inverse proportion?
5. How would you solve the same problem if the relationship was inverse?

Tip: Always check the type of relationship (direct or inverse) in proportion problems to select the correct method for solving!