If A , B and C put in capital in the ratio 2:3:4 respectively, then how much profit would A and B get if the total profit is ₹ 9000?

A gets ₹ 2000

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A gets ₹ 3000

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B gets ₹ 2000

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B gets ₹ 3000

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Solution

The correct options are
A A gets ₹ 2000
D B gets ₹ 3000
Let; A's share be 2x , B's share be 3x, C's share be 4x

Therefore, Ratio of A's investment to B's investment = 2x : 3x = 2:3

We know that,the profit will be shared in the same proportion as the investment.

$∴$ Let A's profit be 2y ,B's profit be 3y and C's profit be 4y

It is known that, Total profit = 9000
$\Rightarrow$ 2y + 3y + 4y = 9000
$\Rightarrow$ 9y = 9000
$\Rightarrow$ y = 1000

$∴$ A gets 2y = ₹ 2000
B gets 3y = ₹ 3000

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