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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 ?

a) Rs. 9000
b) Rs. 12000
c) Rs. 15000
d) Rs. 25000

Answer: c
Explanation:
$$\eqalign{ & {\text{Let Ninad’s investment be Rs}}{\text{.}}x \cr & {\text{Ratio of capitals}} = \left( {x \times 12} \right):\left( {2x \times 6} \right):\left( {3x \times 4} \right) \cr & = 12x:12x:12x \cr & = 1:1:1 \cr & {\text{Manav’s share}} = {\text{Rs}}{\text{.}}\left( {45000 \times \frac{1}{3}} \right) \cr & = {\text{Rs}}{\text{.15000}} \cr} $$

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