-  Let Ram's age = 3X and Mukta's age = 5X
  3X + 9 = 3       4 (3X + 9) = 3 (5X + 9) 5X + 9 4
Mukta's age = 15 years.

Let's assume that the present age of Mukta is 5x years.

Then, the present age of Ram will be 3x years.

After 9 years, the age of Mukta will become 5x + 9 years, and the age of Ram will become 3x + 9 years.

The given ratio of their ages after 9 years is 3 : 4. Hence,

(3x + 9) / (5x + 9) = 3/4

Cross-multiplying, we get:

12x + 108 = 15x + 135

Solving for x, we get:

3x = 27

Hence, x = 9.

Therefore, the present age of Mukta is 5x = 5 * 9 = 45 years.

To summarize:

The present age of Mukta is 45 years.

Answer: A - 15.

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