And B are the other partners in the firm. Let's assume that A and B have an equal share in the remaining 3/4th of the profit.

Total capital in the firm = C's capital + A's capital + B's capital

C's share of profit = 1/4th of total profit

Let's assume the total profit made by the firm is x

Therefore, C's share of profit = x/4

A and B's share of profit = 3x/4 divided equally between them, i.e., 3x/8 each

Now, let's find out the ratio of C's capital to the total capital in the firm:

C's capital = ₹30,000

Total capital in the firm = C's capital + A's capital + B's capital

Let's assume A and B have the same capital, so their capital can be represented as 2y

Therefore, total capital in the firm = ₹30,000 + 2y

The ratio of C's capital to the total capital in the firm can be represented as:

C's capital : Total capital = ₹30,000 : (₹30,000 + 2y)

We can simplify this ratio by dividing both sides by ₹30,000:

C's capital/₹30,000 : Total capital/₹30,000 = 1 : (1 + 2y/₹30,000)

Now, let's substitute the value of C's share of profit in the ratio:

C's share of profit : A and B's share of profit = 1 : 3

We know that C's share of profit is x/4, and A and B's share of profit is 3x/8 each. So, we can write:

x/4 : 3x/8 + 3x/8 = 1 : 3

Simplifying this ratio, we get:

x/4 : 3x/4 = 1 : 3

x/3 = C's share of profit = x/4

Solving for x, we get:

x = ₹36,000

Now, we can substitute the value of x in the ratio of C's capital to the total capital in the firm:

C's capital/₹30,000 : Total capital/₹30,000 = 1 : (1 + 2y/₹30,000)

C's capital/₹30,000 : (₹30,000 + 2y)/₹30,000 = 1 : 4/3

Cross-multiplying, we get:

3C's capital = ₹30,000 + 2y

Substituting the value of x, we get:

3C's capital = ₹30,000 + 2y = ₹36,000

Solving for y, we get:

y = ₹3,0000

So, A and B have a capital of ₹30,000 each.

Therefore, the ratio of their capitals to the total capital in the firm is:

A's capital : Total capital = ₹30,000 : ₹96,000

B's capital : Total capital = ₹30,000 : ₹96,000

C's capital : Total capital = ₹30,000 : ₹96,000

Therefore, the ratio of their shares in the profit will be