How much did Sohil get as profit at the year-end in the business done by Animesh, Sohil and Akhilesh?
A) Akhilesh invested Rs. 8000 for nine months, his profit was 2 times that of Sohil's and his investment was 4 times that of Animesh.
B) Animesh & Sohil invested for one year and in the proportion 1:2 respectively.
C) The three together got Rs 1000 as profit at the year-end.

Only A and B together are sufficient

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Only A and C together are sufficient

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A, B and C together are not sufficient

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A, B and C together are necessary

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None of these

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Solution

The correct option is D A, B and C together are necessary
From statement A, profit between Akhilesh and Sohail is shared in the ratio $2 : 1$ .
From statement B, Animesh : Sohail = $1 : 2.$
Considering statements A and B, Animesh : Sohail : Akhilesh = $1 : 2 : 4.$ Sum of ratios $= 1 + 2 + 4 = 7.$
From statement 3, profit $= 1000$ . Thus, Sohail's share is $1000\times \frac{2}{}7$ . Solving this we get Sohail gets Rs. $285.7$ . Thus, all the three statements together are required to answer the question.

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