Nonad, Vikas and and Manav enter into a partnership. Ninad invest some amount at the beginning. Vikas invest double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of Rs. 45000 at the end of the year. What is Manav's share in the profit ?

1Rs. 9000
2Rs. 12000
3Rs. 15000
4Rs. 25000

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let Ninad's investment be Rs . x \\ Then, ratio of capitals \\ = (x \times 12) : (2 x \times 6) : (3 x \times 4) \\ = 12 x : 12 x : 12 x \\ = 1 : 1 : 1 \\ ∴ Manav's share \\ = Rs . (45000 \times \frac{1}{3}) \\ = Rs .15000 \end{aligned}

$\eqalign{ & {\text{Let Ninad's investment be Rs}}{\text{.}}x \cr & {\text{Then, ratio of capitals}} \cr & = \left( {x \times 12} \right):\left( {2x \times 6} \right):\left( {3x \times 4} \right) \cr & = 12x:12x:12x \cr & = 1:1:1 \cr & \therefore {\text{Manav's share}} \cr & = {\text{Rs}}{\text{.}}\left( {45000 \times \frac{1}{3}} \right) \cr & = {\text{Rs}}{\text{.15000}} \cr}$