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A started a trading firm by investing Rs. 10 lakhs. After 4 months, B joined the business by investing Rs. 15 lakhs then 2 months after B joined C too joined them by investing Rs. 20 lakhs. 1 year after A started the business they made Rs. 6,00,000 in profit. What is C’s share of the profit (in Rs.)?

A started a trading firm by investing Rs. 10 lakhs. After 4 months, B joined the business by investing Rs. 15 lakhs then 2 months after B joined C too joined them by investing Rs. 20 lakhs. 1 year after A started the business they made Rs. 6,00,000 in profit. What is C’s share of the profit (in Rs.)? Correct Answer 2,00,000

Share in profit ∝ Amount invested × time

Duration of investment for A, B and C = 12, 8 and 6 months respectively

Ratio of profit earned by A, B and C = 10 × 12 : 15 × 8 : 20 × 6

⇒ 120 : 120 : 120 = 1 : 1 : 1

Everyone earns an equal share

Share of C = 600000/3 = Rs. 200000

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