Ninad, Vikas and Manav enter into a partnership. Ninad invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of ₹ 45000 at the end of the year. What is Manav's share in the profit?
(a)₹ 9000
(b)₹ 12000
(c)₹ 15000
(d)₹ 25000
(e)None of these
Answer
Answer (as printed): C
Explanation
Let Ninad's investment be ₹ $x$. Then, Ratio of capitals $=(x \times 12):(2 x \times 6):(3 x \times 4)$ $$=12 x: 12 x: 12 x=1: 1: 1 . \text { ∴ } \text { Manav's share }=₹\left(45000 \times \frac{1}{3}\right)=₹ 15000 .$$
Explanation as extracted from the printed page; notation may be imperfect.