Aptitude - Partnership - Discussion

@Murali, they mentioned as after 5 months B is joined with A. 12 months -5 months = 7 months.

Solve of 3500*12/7 = 6000.
6000*3/2 = 9000.

A invests 3500 Rs for 12 months (Why 12 - because profit is given of 1 year) in the ratio of 2.

B invests X Rs for 7 months (Why 7 - because B joins A after 5 months and profit is given of 1 year) in the ratio of 3.

3500*12+X*7 = 2/3.

42000+7X = 2/3.

7X = 3/2*42000.

X = 9000.

Following is Correct explanation:-

A's investment was Rs. 3500 for one-time. It was NEVER recurring for 12 months, i.e., Rs. 3500*12 months is wrong.

It is assumed that B's investment was Rs. x for one-time. It was never recurring for 7 months, i.e., Rs. x*7 months is wrong.

Ratio of profit is given for 1 year.

Therefore, we need to express investments in terms of years, not in terms of months, so that investment ratio has equitable.

Now,

A's share for 12 months (1 year) = Rs. 3500*12/12 = Rs. 3500.

B's share for 7 months (7/12 year) = Rs. x*7/12.

Ratio of Investment should be equal to ratio of profits.

=> 3500:X*7/12 = 2:3.

=> 3500*12/7X = 2/3.

=> 3500*12*3/(7*2) = x.

=> x = Rs. 9000 = B's contribution in the capital.

Thanks.

Don't you think that B's total investment should be 7*9000?

Because we have to find B's total contribution. Please tell me.

How can we take 7 and 12? As b joined 5 months and after 1 year of joining of b, profit is calculated. So we should take (12+5=17) and 12 for a, b respectively. As in the previous online tests. This is the process which gave answer.

3500*12 = 42000 is ratio 42000/2 = 21000,

1 = 21000 then 3 ration will 63000 for 12 months,

63000/7months = 9000,

Total investment of B is 9000.

Thank you all for giving clear solution.

@Pradeep.

A'share is: 4363.
B'share is: 3636.

Well explained @Sukumar.