The ratio of the present ages of Ravi and Hari is 7 : 5 respectively. The difference between their ages is 12 years. Find Ravi’s age after 4 years.

The correct option is 46 years.

Let us solve the problem step-by-step.

Step 1: Formulate the expressions for their present ages.
The ratio of the present ages of Ravi and Hari is given as 7 : 5.
Let the present age of Ravi be $7x$ years and the present age of Hari be $5x$ years, where $x$ is a common multiplier.

Step 2: Use the difference between their ages to find the value of $x$.
We are given that the difference between their ages is 12 years.
Therefore, we can set up the following equation:
$7x-5x=12$
$2x=12$
$x=\frac{12}{2}$
$x=6$

Step 3: Calculate Ravi's present age.
Ravi's present age is:
$7x=7\times 6=42$ years.

Step 4: Find Ravi's age after 4 years.
To find Ravi's age after 4 years, we add 4 to his present age:
$\text{Ravi's age after 4 years}=42+4=46$ years.

Thus, Ravi's age after 4 years will be 46 years.