Question
A and B started a business together with investments of
Rs. 2100 and Rs. 2800, respectively. After four months, C joined them with investment of Rs. âxâ. If the profit earned by A after one year is Rs. 900 out of the total profit of Rs. 3100, then find the value of âxâ.Solution
Ratio of investments of A : B : C = 2100 : 2800 : x Ratio of profit share of A : B : C = (2100 Ă 12) : (2800 Ă 12) : 8x = 25200 : 33600 : 8x = 3150 : 4200 : x So, [3150/ (3150 + 4200 + x)] = 900/3100 7350 + x = 10850 x = 3500 So, the value of âxâ is Rs. 3500
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