A and B entered into a partnership with their capitals in the ratio $$\frac{5}{6}: \frac{3}{8}$$​ . After 4 months, A reduced his capital by one-fourth and B increased his capital by 100%. What is the share (in Rs. lakhs) of B in the annual profit of Rs.22.8 lakhs?

Correct option is B

Given:

Capital ratio of A and B = $$\frac{5}{6} : \frac{3}{8}​$$​​

A reduces his capital by one-fourth after 4 months.

B increases his capital by 100% after 4 months.

Annual profit = Rs. 22.8 lakhs. 

Formula Used: ​

Investment $$\propto$$ profit

Solution: ​

​Capital ratio of A and B = $$\frac{5}{6} : \frac{3}{8}$$ = 20 : 9 

Let capita of A is 20 unit and B is 9 unit 

So, Investment ratio of both 

$$=20\times 4 + 15 \times 8 : 9 \times 4 + 18 \times 8 \\ \ \\ = 50 : 45 \\ \ \\ = 10 : 9$$ 

Share of B in annual Profit ;

= $$\frac{22.8}{19}\times 9 = 10.8 \ lakh$$​​