Question
X and Y started a business with initial investments of
Rs. 4700 and Rs. 7200 respectively. After 3 months, X added Rs. 1200 to his investment. If the total profit at the end of one year is Rs. 5600, find the difference between X’s share and Y’s share of the profit.Solution
ATQ,
X’s capital-time = 4700×3 + (4700+1200)×9 = 14100 + 5900×9 = 67200
Y’s capital-time = 7200×12 = 86400
Profit ratio X:Y = 67200:86400 = 7:9
Difference = 5600×(9−7)/(7+9) = 5600×2/16 = ₹700
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