"Karan" and "Arjun" launched a business, with "Karan" contributing 25% more capital than "Arjun." 8 months later, 'Arjun' pulled out of the investment. Determine the profit share of "Arjun" if, at the end of the year, the difference between "Karan's" and "Arjun's" profit shares was Rs. 10,500.
ATQ, Let the sum invested by 'Arjun' be Rs. '4a'. So, sum invested by 'Karan' = 1.25 × 4a = Rs. '5a' ATQ; Ratio of profit shares of 'Karan' and 'Arjun' at the end of the year = (5a × 12) :(4a × 8) = 15:8 Let the profit earned by 'Karan' and 'Arjun' be Rs. '15b' and Rs. '8b', respectively. 15b - 8b = 10500 So, b = (10500/7) = 1,500 Profit share of 'Arjun' = 8b = 8 × 1500 = Rs. 12,000
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