Question
Dev, Ajay and Vijay started a business with investment
of ₹10,000, ₹20,000 and ₹20,000 respectively. After 6 months, Ajay withdrew an amount of ₹5,000 from his investment. After 3 more months, Vijay brought in ₹10,000. If at the end of the year, the total amount of the profit earned is ₹36,000, then find the share (in ₹) of Ajay in the profits.Solution
Explanation: Profit share is based on investment multiplied by time (man-month ratio). Dev: ₹10,000 × 12 months = 1,20,000 Ajay: (₹20,000 × 6) + (₹15,000 × 6) = 1,20,000 + 90,000 = 2,10,000 Vijay: (₹20,000 × 9) + (₹30,000 × 3) = 1,80,000 + 90,000 = 2,70,000 Total Investment Ratio = 1,20,000 : 2,10,000 : 2,70,000 = 12 : 21 : 27 = 4 : 7 : 9 (Dividing by 3) Sum of ratios = 4 + 7 + 9 = 20 Ajay's Share = (7/20) × ₹36,000 = ₹12,600
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