DIRECTION for the question: Solve the following question and mark the best possible option.

Aman started a business investing Rs. 70000. Rakhi joined him after six months with an amount of Rs. 105000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

Aman invested in the business for a complete 3 years = 36 months

Rakhi had joined 6 months after Aman $$\Rightarrow$$ Rakhi invested for total of 30 months

Sagar had joined 6 months after Rakhi $$\Rightarrow$$ Sagar invested for total of 24 months

Ratio of profits = Ratio of (investment $$\times$$ time period)

$$\therefore$$ Aman : Rakhi : Sagar = (70,000 $$\times$$ 36) : (105,000 $$\times$$ 30) : (140,000 $$\times$$ 24)

$$\Rightarrow$$ Aman : Rakhi : Sagar = (70 $$\times$$ 6) : (105 $$\times$$ 5) : (140 $$\times$$ 4)

$$\Rightarrow$$ Aman : Rakhi : Sagar = (2 $$\times$$ 6) : (3 $$\times$$ 5) : (4 $$\times$$ 4)

$$\Rightarrow$$ Aman : Rakhi : Sagar = 12 : 15 : 16

Hence, option A is the correct choice.