Question
Aman and Bhavya started a business together. Aman
invested Rs. 400 more than Bhavya. Aman pulled out his money after 4 months, while Bhavya kept her investment for the full year. If at the end of the year, their profit shares were in the ratio of 2:3 (Aman:Bhavya), what was Aman's investment?Solution
ATQ,
Let Bhavya’s investment = Rs. y Then Aman's investment = Rs. (y + 400) Profit share ratio = [(y + 400) × 4] : [y × 12] → (y + 400) : 3y = 2 : 3 Cross-multiplying: 3(y + 400) = 6y → 3y + 1,200 = 6y → 3y = 1,200 → y = 400 So, Aman's investment = 400 + 400 = Rs. 800
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