Question
Two individuals, 'P' and 'Q', started a business with
initial investments of Rs. 5400 and Rs. 6200, respectively. After six months, 'P' increased his investment by Rs. 1200, while 'Q' raised his investment by Rs. Y. By the end of the year, the profit was divided between them in the ratio 6:7. Determine the value of Y.Solution
Ratio of profit shares of 'P' and 'Q' respectively: = {5400 X 6 + (5400 + 1200) X 6}:{6200 X 6 + (6200 + Y) X 6} = {5400 + (5400 + 1200) }:{6200 + (6200 + Y) } = 12000:(12400 + Y) ATQ, 12000:(12400 + Y) = 6:7 Or, 84000 = 74400 + 6Y Or, 6Y = 84000 - 74400 = 9600 So, Y = 9600 ÷ 6 = 1600
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