Question
P and Q started a business with investments of Rs. 3000 and Rs. 4500. After 5 months, R joined them with Rs. ‘x’. If P’s share in the annual profit of Rs. 2000 is Rs. 600, find the value of ‘x’.
Solution
Ratio of investments P : Q : R = 3000 : 4500 : x Ratio of profit share P : Q : R = (3000 × 12) : (4500 × 12) : (x × 7) = 36000 : 54000 : 7x = 6000 : 9000 : x (dividing by 6) So, [6000 / (6000 + 9000 + x)] = 600/2000 => (6000 / (15000 + x)) = 3/10 => 60000 = 45000 + 3x => 3x = 15000 => x = 5000 So, the value of ‘x’ is Rs. 5000
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