Question
X and Y began a business with Rs. 12,000 and Rs. 15,000 respectively. After 3 months, X decreased his capital by Rs. 2,000 and Z invested Rs. 10,000 in the business. What is X's share of the total profit of Rs. 31,500 earned at the end of the year?
Solution
ATQ,
Ratio of profit share of X, Y and Z:
= (12000 × 3 + 10000 × 9) : (15000 × 12) : (10000 × 9)
= 21 : 30 : 15
Therefore, profit share of X = (21 / 66) × 31500 = Rs. 10,000
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