Explanation:

Let’s break it down step by step:

- The incomes of Ankit, Sanjay, and Roshan are in the ratio 12:9:7. Let’s call their incomes 12x, 9x, and 7x.

- Their expenditures are in the ratio 15:9:8. So, call their expenditures 15y, 9y, and 8y.

- Ankit saves 25% of his income. That means his savings are 25% of 12x = 3x.

- By definition, savings = income - expenditure. So for Ankit:

12x - 15y = 3x ? 15y = 9x ? y = 9x/15 = 3x/5

Now, let’s find savings for everyone:

- Ankit: Savings = 12x - 15y = 12x - 15*(3x/5) = 12x - 9x = 3x

- Sanjay: Income = 9x, expenditure = 9y = 9*(3x/5) = 27x/5. So savings = 9x - 27x/5 = (45x - 27x)/5 = 18x/5

- Roshan: Income = 7x, expenditure = 8y = 8*(3x/5) = 24x/5. So savings = 7x - 24x/5 = (35x - 24x)/5 = 11x/5

Now, their savings are:

Ankit: 3x

Sanjay: 18x/5

Roshan: 11x/5

Write them as a ratio:

3x : 18x/5 : 11x/5

Multiply through by 5 to clear fractions:

15x : 18x : 11x ? 15 : 18 : 11

So the correct ratio is 15 : 18 : 11.

- Option 1 is right.

- Options 2, 3, and 4 are incorrect—they don’t fit the relationship once you crunch the numbers.