Question
Arjun and Bheem invested in a business with their
initial investments in the ratio 5:6, respectively. After one year, Arjun increased his investment by 40%, while Bheem increased his by 50%. If the total profit earned at the end of two years was Rs. 9,000, what was Arjun’s share of the profit?Solution
ATQ,
Let the initial investments of ‘Arjun’ and ‘Bheem’ be Rs. ‘5x’ and Rs. ‘6x’, respectively
Then, increased investment of ‘Arjun’ = 5x × 1.4 = Rs. ‘7x’
Increased investment of ‘Bheem’ = 6x × 1.5 = Rs. ‘9x’
So, ratio of profit shares of ‘Arjun’ and ‘Bheem’ = (5x + 7x):(6x + 9x) = 12x:15x = 4:5
So, profit share of ‘Arjun’ at the end of two years = Rs. 9000 × (4/9) = Rs. 4,000
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