If A, B and Center a partnership with shares in the ratio of $$\dfrac{4}{3} : \dfrac{7}{2} : \dfrac{6}{5}$$ after 4 months, A increases his share by 108.75%. If the total profit in the end of one year is ₹17,208 then B's share in the profit is:

Convert the ratio into integers by multiplying it by the LCM of denominators; now, the ratio becomes 40:105:36.

Let the shares held by A, B, and C be 40x, 105x, and 36x, respectively.

A, B and C hold shares for one year. Other than that, A holds 108.75% more than he holds, which is 43.5x more from the 5th month.

Now multiply shares, and the time each one holds equates to 17208.

$$40x\cdot12+105x\cdot12+36x\cdot12+43.5x\cdot8=2520\cdot x$$

$$2520x=17208$$

$$x=\frac{17208}{2520}$$

B's share is $$105x*12$$, which gives $$105\times 12\times \frac{17208}{2520}= 8604$$

Thus, the correct answer is option A.