Question
'A' and 'B' invested (x + 40) and (x - 80) rupees,
respectively, in a business. After one year, they made additional investments of Rs. 520 and Rs. 120, respectively. At the end of the second year, the total profit was Rs. 6,000, of which 'A' received Rs. 3,750. Determine the ratio of the initial investments made by A to B.Solution
Ratio of profit share of A to B = [x + 40 + x + 40 + 520]:[x – 80 + x – 80 + 120] = (2x + 600):(2x – 40)
According to question;
(2x + 600)/(2x – 40) = 3750/2250 = 5/3
Or, 6x + 1800 = 10x – 200
Or, 4x = 2000
Or, x = 500
Desired ratio = (500 + 40):(500 – 80) = 540:420 = 9:7
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