A, B and C divide a certain sum of money among themselves. The average of the amounts with them is ₹4520. Share of A is $$10\frac{2}{3}\%$$ more than share of B and $$33\frac{1}{3}\%$$ less than share of C. What is the share of B (in ₹)?

Share of A is $$10\frac{2}{3}\%$$ more than share of B.

A = B + $$\frac{\frac{32}{3}}{100}\times$$B

A = B + $$\frac{8}{75}\times$$B

A = $$\frac{83}{75}$$B........(1)

Share of A is $$33\frac{1}{3}\%$$ less than share of C.

A = C - $$\frac{\frac{100}{3}}{100}\times$$C

A = C - $$\frac{1}{3}\times$$C

A = $$\frac{2}{3}$$C

$$\frac{83}{75}$$B = $$\frac{2}{3}$$C

C = $$\frac{83}{50}$$B........(2)

The average of the amounts of A, B and C is ₹4520.

Sum of the amounts of A, B and C = 4520 x 3

A + B + C = 13560

$$\frac{83}{75}$$B + B + $$\frac{83}{50}$$B = 13560

$$\frac{166B+150B+249B}{150}=13560$$

$$\frac{565B}{150}=13560$$

B = ₹3600

Hence, the correct answer is Option C