A and B started a partnership business investing in the ratio of 3 : 8. C joined them after 4 months with an amount equal to 314th of B. What was their profit (in $₹$ ) at the end of the year if C got $₹$ 24,000 as his share?

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90000

120000

180000

150000

answer is C.

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Detailed Solution

Profit ratio of A, B and C

$3 x \times 12 : 8 x \times 12 : 8 x \times \frac{3}{4} \times 8$

So the ratio is 3: 8: 4

Sum of ratio=3 + 8+4= 15

Let C's profit = 4x

$∵ C$ ' s profit $₹ 24000$

$\begin{aligned} ∴ 4 x = ₹ 24000 \\ x = 6000 \end{aligned}$

So according to question total profit = 15x or 15x6000 $= ₹ 90000$

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