Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 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?
To find the profit-sharing ratio, we need to calculate the total investment made by each person over the 3-year period, considering the time each person invested.
Aman invested Rs. 70,000 for 3 years.
Rakhi invested Rs. 1,05,000 for 2.5 years (joined after 6 months).
Sagar invested Rs. 1,40,000 for 2 years (joined after 1 year).
Now, let’s calculate the products of each person’s investment and the time period:
Aman: 70,000 × 3 = 2,10,000
Rakhi: 1,05,000 × 2.5 = 2,62,500
Sagar: 1,40,000 × 2 = 2,80,000
The profit-sharing ratio is the ratio of these products:
Aman : Rakhi : Sagar = 2,10,000 : 2,62,500 : 2,80,000
To simplify the ratio, divide each term by the smallest common factor (which is 10,000):
Aman : Rakhi : Sagar = 21 : 26.25 : 28
To express the ratio in whole numbers, multiply each term by 4:
Aman : Rakhi : Sagar = 84 : 105 : 112
The final answer is: 84 : 105 : 112
