Question
A and B entered into a partnership by investing
Rs.(x+250) and Rs.(x+550) respectively. After 8 months, A increased his investment by Rs.300 and B left the firm. At the end of the year, the ratio of profit share of A and B is 9:8. Find the value of x.Solution
ATQ, A’s investment: First 8 months = (x + 250) Last 4 months = (x + 250 + 300) = (x + 550) B’s investment: First 8 months = (x + 550) Last 4 months = 0 So, [(x+250)*8 + (x+550)*4] / [(x+550)*8] = 9/8 (8x + 2000 + 4x + 2200) / (8x + 4400) = 9/8 (12x + 4200) / (8x + 4400) = 9/8 Divide numerator and denominator by 4: (3x + 1050) / (2x + 1100) = 9/8 (3x + 1050) * 8 = 9 * (2x + 1100) 24x + 8400 = 18x + 9900 6x = 1500 x = 250
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