Prakash, Sachin and Anil started a business jointly investing Rs. 11 lakh, Rs. 16.5 lakh and Rs.8.25 lakh respectively. The profit earned by them in the business at the end of 3 years was Rs. 5 lakh. What will be 50% of Anil's share in the profit ?

1Rs. 2.25 lakh
2Rs. 2.50 lakh
3Rs. 3.75 lakh
4Rs. 4.50 lakh

Answer:- 1

Explanation:-

Solution:

\begin{aligned} ∵ Ratio of shares \\ = 11 : 16.5 : 8.25 \\ = 4 : 6 : 3 \\ Anil's share \\ = Rs . (19.5 \times \frac{3}{13}) \\ = Rs. 4 .5 lakh \\ ∴ Required amount \\ = 50 % of 4 .5 lakh \\ = Rs. 2 .25 lakh \end{aligned}

$\eqalign{ & \because {\text{Ratio of shares}} \cr & = 11:16.5:8.25 \cr & = 4:6:3 \cr & {\text{Anil's share}} \cr & = {\text{Rs}}{\text{.}}\left( {19.5 \times \frac{3}{{13}}} \right) \cr & = {\text{Rs. }}{\text{4}}{\text{.5 lakh}} \cr & \therefore {\text{Required amount}} \cr & = 50\% {\text{ of 4}}{\text{.5 lakh}} \cr & = {\text{Rs. }}{\text{2}}{\text{.25 lakh}} \cr}$