A, B ,And c started a bussiness. A invested $$33\frac{1}{3} \%$$ of the total capital. B invests $$33\frac{1}{3}\%$$ of the remaining capital and c, the remaining.If the total profit at the end of the year was ₹ 20,250 then the profit of c excceds the profit of B by

Let the total capital invested capital = x Rs.

Share of A in the total capital$$=33\dfrac{1}{3}\times \dfrac{x}{100}=\dfrac{100x}{3\times 100}=\dfrac{x}{3}$$

So, remaining$$= x-\dfrac{x}{3}=\dfrac{2x}{3}$$

Share of B in the total capital $$=\dfrac{2x}{3}\times 33\frac{1}{3}\%=\dfrac{2x\times 100}{3\times 3\times 100}=\dfrac{2x}{9}$$

Share of C in the total capcital $$=x-\dfrac{x}{3}-\dfrac{2x}{9}=\dfrac{9x-3x-2x}{9}=\dfrac{4x}{9}$$

Hence ratio in the investment $$= 3:2:4$$

Hence the share of C in the profit $$= \dfrac{4\times 20250}{9}=9000Rs$$
Hence the share of B in the profit $$= \dfrac{2\times 20250}{9}=4500$$

Hence the profit of C exceeds by the profit of B$$=9000-4500=4500$$