A, B and C enterinto a partnership by investing their capitals in the ratio of $$\frac{2}{5} : \frac{3}{4} : \frac{5}{8}$$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. Whatis the share of B in the total profit of ₹2,82,100 at the end of a years.

Ratio of capitals of A, B and C = $$\frac{2}{5} : \frac{3}{4} : \frac{5}{8}$$

= $$40\times($$ $$\frac{2}{5} : \frac{3}{4} : \frac{5}{8}$$ $$)$$

Let capital invested by $$A=16$$, $$B=30$$ and $$C=25$$ for the first 4 months

Capital for remaining 8 months = $$24:24:25$$

Ratio of profit earned = $$[(16\times4)+(24\times8)]:[(30\times4)+(24\times8)]:[(25\times12)]$$

= $$(16+48):(30+48):(25\times3)$$

= $$64:78:75$$

$$\therefore$$ Share of B in total profit of Rs. 2,82,100 = $$\frac{78}{(64+78+75)}\times282100$$

= $$78\times1300=Rs.$$ $$1,01,400$$

=> Ans - (B)