Question 57

A, B and C together start a business. The ratio of the investments of A, B and C is 0.125 : 0.75 : 0.25. After 8 months A adds thrice amount of his earlier investment and C withdraws half of his earlier investment. At the end of the year, they earn a total profit of Rs. 5800. What is B’s share in the profit ?

Solution

A : B : C = 0.125 : 0.75 : 0.25

= 125 : 750 : 250 = 1 : 5 : 2

Let investments of A, B & C be $$x , 5x , 2x$$ respectively

After 8 months, A added = $$x + 3 * x = 4x$$

and C withdraws = $$\frac{2x}{2} = x$$

=> Ratio of profits = A : B : C

= $$(x * 8) + (4x * 4) : (6x * 12) : (2x * 8) + (x * 4)$$

= $$24x : 72x : 20x = 6 : 18 : 5$$

Total profit = 5800

$$\therefore$$ B's profit = $$\frac{18}{29} * 5800$$ = Rs. 3,600

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