Question 109

In a partnership business, A invests 1/6th of the capital for 1/6 of the total time, B invests 1/4 of the capital for 1/4 of the total time and C, the rest of the capital for the whole time. Out of a profit of 19,400, B's share is :

Solution

let the total capital be Rs z and total time be y

hence ratio of profit divison for A,B,C will be

$$\frac{z}{6} \times \frac{y}{6} : \frac{y}{4} \times \frac{z}{4} : y \times \frac{7z}{12}$$

A:B:C = 4:9:84

hence profit for B = 9/97 x 19400 = 1800

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