Question
X and Y start a business with investments Rs. 20000 and
Rs. 30000. X invests for 9 months and Y for 'n' months. If X's profit share is Rs. 9000 out of total profit Rs. 21000, determine n.Solution
Ratio of profits of X to Y = 9000 : (21000 - 9000) = 9000 : 12000 = 3 : 4 According to the question, (20000 × 9) : (30000 × n) = 3 : 4 So, 4 × (20000 × 9) = 3 × (30000 × n) Or, n = [4 × 20000 × 9] / [3 × 30000] = 8 Therefore, n = 8 months
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