Each of the questions below consists of a question and two or three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Question 163

How much did Sohil get as profit at the year end in the business done by Animesh, Sohil and Akhilesh ?
1. Akhilesh invested Rs. 8000/- for nine months, his profit was (3/2) times that of Sohil’s and his investment was 4 times that of Animesh.
2. Animesh and Sohil invested for one year and in the proportion 1 : 2 respectively.
3. The three together got Rs. 1000/- as profit at the year end.


Clearly, each statement alone is not sufficient, thus combining all the three statements, we get :

Amount invested by Akhilesh = Rs. 8000 for 9 months

=> Amount invested by Animesh = Rs. 2000 for 1 year

=> Amount invested by Sohil = Rs. 4000 for 1 year

Thus, ratio of profit of Akhilesh, Animesh and Sohil = $$(8000\times9):(2000\times12):(4000\times12)$$

= $$72:24:48=3:1:2$$

Total profit = Rs. 1000

Profit of Sohil = $$\frac{2}{(3+1+2)}\times1000=Rs.$$ $$333.33$$

Thus, 1, 2 and 3 together are necessary.

=> Ans - (D)

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