Due to increase of 20% in the price of eggs, 2 eggs less are available for Rs 24. The present rate of eggs per dozen is

Let original price per egg be $x$ rupees

Initially:

For Rs $24$, number of eggs = $\frac{24}{x}$

After $20\%$ increase:

New price per egg = $1.2x$ rupees

New number of eggs = $\frac{24}{1.2x}$

Given that difference = $2$ eggs

$\frac{24}{x} - \frac{24}{1.2x} = 2$

$\frac{24}{x} - \frac{20}{x} = 2$

$\frac{4}{x} = 2$

$x = 2$ rupees per egg

Present price = $1.2 \times 2 = 2.4$ rupees per egg

For one dozen eggs = $2.4 \times 12 = 28.8$ rupees

Therefore, the present rate is Rs $28.8$ per dozen.