Question : A starts a business with INR 75,000 and B joins the business 5 months later with an investment of INR 80,000. After 1 year, they earn a profit of INR 4,08,800. Find the share of A and B (in INR).
Option 1: 2,52,000 and 1,56,800
Option 2: 2,50,000 and 1,58,800
Option 3: 2,48,000 and 1,60,800
Option 4: 2,49,500 and 1,59,300
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Correct Answer: 2,52,000 and 1,56,800
Solution : Investment ratio of A and B = (12 × 75000) : (7 × 80000) = 45 : 28 Here investment ratio = profit ratio Total profit = INR 408800 Share of A = $\frac{45}{45+28}$ × 408800 = INR 2,52,000 Share of B = $\frac{28}{45+28}$ × 408800 = INR 1,56,800 Hence, the correct answer is 2,52,000 and 1,56,800.
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