A. B and C started a business with their capitals in the ratio 2 : 3 : 5. A increased his capital by 50% after 4 months, B increased his capital by $$33\frac{1}{3}\%$$ after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was ₹86,800,then the difference between the shares of A and C in the profit was:

Let the initial capitals of A, B and C be 2x, 3x and 5x.
Investment of A = 2x $$\times 4 + 3x \times 8 $$ = 32x
Investment of B = 3x $$\times 6 + 4x \times 6 $$ = 42x
Investment of C = 5x $$\times 8 + 2.5x \times 4 $$ = 50x
Profit ratio of A, B and C = 32x : 42x : 50x = 16 : 21 : 25
Total profit = 86,800
16 + 21 + 25 units = 86,800
62 units = 86800
Difference between the shares of A and C in the profit = 25 - 16 = 9 units
= $$\frac{86800}{62} \times 9$$ = Rs 12600