Question
Arjun and Amit started a partnership firm. Arjun
invested Rs. 15,000, while Amit withdrew his investment after 6 months. If the profit was shared in the ratio of 5:3 at the end of the year, find the amount invested by Amit.Solution
ATQ,
Let Amit’s investment be Rs. m. Arjun’s share = 15,000 × 12 = 1,80,000 Amit’s share = m × 6 = 6m So, 15,000 × 12 : m × 6 = 5 : 3 Or, 1,80,000 : 6m = 5 : 3 Cross-multiplying: (1,80,000 × 3) = (6m × 5) 5,40,000 = 30m m = 18,000
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