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Question

Srikant and Vividh started a business investing amounts of $R s . 185000$ and $R s .225000,$ respectively.If Vividh's share in the profit earned by them is $R s .9000,$ what is the total profit earned by them together?
$R s .17400$
$R s . 16400$
$R s .16800$
$R s . 17800$

A

R s .17400

B

R s . 17800

C

R s . 16400

D

R s .16800

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Solution

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Ratio of investment by Srikant and Vividh is
$= \frac{185000}{225000} = \frac{185}{225} = \frac{37}{45}$

therefore there profit sharing will be in the same ratio $= \frac{37}{45} = k$ (ratio constant)
then $45 k = 9000$
therefore $k = \frac{9000}{45} = 200$
Hence total profit
$= (37 + 45) k = 82 k = 82 \times 200 = 16400 R s$

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