Instructions

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.

Solution

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)