Aptitude - Partnership - Discussion

Here, we have to assume that all partners had some investment, and therefore, their partnership existed.

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.

Given that, max duration of investment is 14 months.

Therefore, A 's investment = X*14/14.
Therefore, B 's investment = Y*8/14.
Therefore, C 's investment = Z*7/14.

Let's find ratio of investments,

=> A : B : C = (X*14/14) : (Y*8/14) : (Z*7/14).
=> A : B : C = (X*14) : (Y*8) : (Z*7).
=> A : B : C = 14X : 8Y : 7Z.

=> Share of Profit at end of 14 months.

= 14X : 8Y : 7Z = 5 : 7 : 8.

Please refer to answer of this question for remaining explanation.

Thanks.

This question says, "They had partnered for 14 months, 8 months and 7 months respectively".

The word "partnered" does not mean "invested". It is open to more than one interpretation. It is not having one obvious meaning.

Do you have same doubt?

Before finding least common multiple, bring all terms to x.

Any partnership problem.

Month=m; Investment=i.

I'm 1: I'm 2 : I'm 3 = p1:p2:p3.

If any changes like 50% more add to.

How do find 56?

Please give me easy trick to understand.

How did you calculate LCM?

Calculation of LCM is best way to find the answer. It is used for compensating purpose.

Lets try this:

After equating the profits, we left with,

14x : 8y : 7z = 5 : 7 : 8.

=> x=5/14 , y=7/8, z=8/7.

take l.c.m of 14,8,7. we get 56.

x = 5/14*56 = 20.

y = 7/8*56 = 49.

z = 8/7*56 = 64.

So, investments x:y:z = 20:49:64.

Yeah. We can do LCM.

Its just for compensating purpose only.

We can take LCM in ratio ?