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A started a business investing $₹ 45, 000 .$ After $3$ months, B joined him with a capital of $₹60,000.$ After another 6 months, C joined them with a capital of $₹90,000.$ At the end of the year, they made a profit of $₹16,500.$ What is A's share of profit?

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$₹ 6500$

$₹ 890.50$

$₹ 6600$

$₹ 6900$

answer is A.

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Detailed Solution

$\begin{array}{llll} A : B : C \\ 45000 \times 12 60, 000 \times 9 90, 000 \times 3 \\ 540 540 270 \\ 2 : 1 : 1 \\ Total profit = ₹ 16500 \\ ∴ Share of A = \frac{16500}{5} \times 2 = 3300 \times 2 \\ = ₹ 6600 \end{array}$

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