Question
Arjun has invested an amount denoted as 'a' for a span
of 16 months, while Bheem has invested 'a + 5000' for a period of 12 months. Their combined profit stands at Rs. 5000, with Arjun's share being Rs. 2000. Can you determine the original sum that Bheem had invested?Solution
ATQ, Ratio of profits = a × 16:(a + 5000)× 12 = 4a:(3a + 15000) According to the question, (5000 × 4a)/(7a + 15000) = 2000 Or, 20000a = 14000a + (15000 × 2000) Or, a = {(15000 × 2000)/6000} = Rs. 5000 Amount invested by Bheem = (a + 5000) = Rs.10,000
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