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Aryan, Rohit and Samay started a business by investing equal amount of money. After 8 months, Samay withdrew his investment and left the business. To compensate, Aryan and Rohit each invested the same amount again in the business. At the end of the year, if the business made a profit of Rs. 60000, how much profit will Samay receive?

Aryan, Rohit and Samay started a business by investing equal amount of money. After 8 months, Samay withdrew his investment and left the business. To compensate, Aryan and Rohit each invested the same amount again in the business. At the end of the year, if the business made a profit of Rs. 60000, how much profit will Samay receive? Correct Answer Rs. 12000

Let their initial investment amount be Rs. ‘x’

Aryan’s total investment = 8x + 4(2x) = 16x

Rohit’s total investment = 8x + 4(2x) = 16x

Samay’s total investment = 8x

∵ Ratio of their profit share = ratio of their investment

⇒ Ratio of their profit share = 16x ∶ 16x ∶ 8x = 2 ∶ 2 ∶ 1

Sum of ratios = 2 + 2 + 1 = 5

Total profit earned = Rs. 60000

∴ Samay’s share in profit = (1/5) × 60000 = Rs. 12000

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