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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 amoun…

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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 ?
  • ARs. 3400
  • BRs. 3200
  • CRs. 3600
  • DRs. 3800
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CCommunity
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
0
CCommunity
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