Aman started a business investing Rs. 70,000. Rakhi joined him after six…
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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?
- A.
11 : 13 : 15
- B.
11 : 13 : 17
- C.
12 : 17 : 18
- D.
12 : 15 :16
Attempted by 342 students.
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Correct answer: D
Key idea: Profit share is proportional to capital × time invested.
Aman: invested Rs. 70,000 for 3 years = 36 months. 70,000 × 36 = 2,520,000
Rakhi: joined after 6 months, so invested for 2.5 years = 30 months. 105,000 × 30 = 3,150,000
Sagar: joined after another 6 months (12 months after start), so invested for 2 years = 24 months. 140,000 × 24 = 3,360,000
So the ratio is 2,520,000 : 3,150,000 : 3,360,000.
Divide all terms by 210,000 to simplify: 2,520,000 ÷ 210,000 = 12, 3,150,000 ÷ 210,000 = 15, 3,360,000 ÷ 210,000 = 16
Answer: 12 : 15 : 16