Aptitude - Partnership - Discussion

When investments of all the partners are 'for the same time', the gain or loss or liability is distributed among the partners in the ratio of their investments.

Let's assume that K is not variable, and K = 1,000.

Therefore, AMAN's investment = 70K*36/36.

Therefore, AMAN's investment = 105K*30/36.

Therefore, AMAN's investment = 140K*24/36.

=> A : B : C = (70K*36/36) : (105K*30/36) : (140K*24/36).
=> A : B : C = (70K*36) : (105K*30) : (140K*24).

=> A : B : C = (2*6) : (3*5) : (4*4).
=> A : B : C = 12:15:16.

Thanks.

When investments are for different time periods, then equivalent capitals are calculated for a unit of time by taking (capital x number of units of time). Now gain or loss is divided in the ratio of these capitals.

Suppose A invests Rs. x for p months and B invests Rs. y for q months then,

(A's share of profit) : (B's share of profit) = xp : yq.

@Pavani.

If you start investing from 1st month to 12th month, and your friend start investing from 5th month to 12th month. Then,

You are investing for 12 months.
Your friend is investing for 7 months.

That's how it decrease.
Hope you will be clear now.

@Talha, Prakash, Gokul Nath, Archana.

(70,000 x 36):(1,05,000 x 30):(1,40,000 x 24).

2520000:3150000:3360000.

Cancel common zeros so 252:315:336.

Divide by 21, answer is 12:15:16.

We divide it by 21 to reduce to small numbers.

Contribution Ratio: 70000:105000:140000 divided by 35000 then we will get 2:3:4.

Ratio Of Months 36:30:24 divided by 6 then we will get 6:5:4.

Now simple multiply them i.e 5.

2*6 = 12.
3*5 = 15.
4*4 = 16.

Answer is 12:15:16.

Total year=3 =>36 months.

Aman joined in first month so Aman=36.

Rakhi joined after 6 months so Rakhi=Total-6=36-6= 30.

Sagar joined them after another six months so Sagar= 30-6=24.

Are you clear.

70k*36:105k*30:140k*24.

This will be equal to 252:315:336.

Divide all three by any one of the three say 252. We get 1/1:5/4:4/3.

Take LCM of 1, 4, 3 which is 12 then 12*1:5/4*12:4/3*12 = 12:15:16.

Leave the last 3digits take (70*36):(105*30):(140*24)
=2520:3150:3360
Again leave the last digit
=252:315:336
We can divide commonly by 21
answer is 12:15:16

The other two people joined after aman, so the number of months should increase, but why the months are decreasing like 30 and 24.

70000 : 105000 : 140000.

It becomes 2:3:4 and now multiply these by their duration of investment.

And here it becomes 12:15:16.