Three friends A, B, C invested in a business in the ratio of $4 : 5 : 6$ . After $6$ months C withdraw half of his capital. If the sum invested by A is $48000$ , then the profit earned by C out of the total profit of $60000$

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Solution

Initial investment ratio $= 4 : 5 : 6$
Let the common invested amount be $x$ Rs.
sum invested by A,
$\Rightarrow 4 x = 48000$ .
$\Rightarrow x = 12000$ Rs.
Thus B invested $= 5 \times 12000 = 60000$
Thus C invested $= 6 \times 12000 = 72000$
Ratio in which the profit will be divide,
$= 48000 \times 12 : 60000 \times 12 : 72000 \times 6 + 36000 \times 6$
$= 8 : 10 : 9$ .
Total profit $= 60000$ Rs
So C's share $= \frac{9}{27} \times 60000 = 20000$ Rs.

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