Question : Ramesh started a business investing a sum of INR 40,000. Six months later, Kevin joined by investing INR 20,000. If they make a profit of INR 10,000 at the end of the year, how much is the share of Kevin?
Option 1: INR 2,000
Option 2: INR 4,000
Option 3: INR 3,000
Option 4: INR 2,500
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Correct Answer: INR 2,000
Solution : Ramesh's investment = INR 40000 Ramesh's period of investment = 12 months Kevin's investment = INR 20000 Kevin's period of investment = 6 months Total profit at the end of the year = INR 10000 We know that, Profit = capital invested × time Ratio of their profit = (40000 × 12) ∶ (20000 × 6) = 480000 ∶ 120000 = 4 ∶ 1 Ramesh's profit = $4x$ Kevin's profit = $x$ Total profit = $4x + x$ ⇒ $5x = 10000$ ⇒ $x = 2000$ Hence, the correct answer is INR 2,000.
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