Question 168

A and B entered into a partnership investing Rs 16000 and Rs. 12000 respectively. After 3 months A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by

Solution

Total amount invested by A over the year(in '000s) = (16*3) + (11*9) = 147

Total amount invested by B = (12*3) + (17*9) = 189

Total amount invested by C = 21*6 = 126

Ratio of the amounts invested by A : B : C = 147 : 189 : 126

=> A : B : C = 7 : 9 : 6

Total profit = 26400

=> Share of B exceeds that of C by = $$\frac{9-6}{22}$$ * 26400

= 3*1200 = 3600

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