Aptitude - Partnership - Discussion

Hi Navneet Sama,

Take a look at the below lines:

Simran invested Rs. 50,000 for 36 months (3 years).

Nanda invested Rs. 80,000 for 30 months only (bcz he joined 6 months later, so 36 - 6 = 30 months).

Therefore, the ratio of their contribution is

= (Simran's Invested Amount X No. of Months) : (Nanda's Invested Amount x No. of months)

= (50,000 x 36) : (80,000 x 30)

= 18,00,000 : 24,00,000

= 18 : 24

= 3 : 4 (I hope this is what you expected).

Now, Total contribution is (3 + 4) = 7.

This means that
1. Simran's contribution is (3 out of 7) = 3/7.
2. Nanda's contribution is (4 out of 7) = 4/7.

If profit is Rs.7 means, Simran will take Rs. 3 and nanda will take Rs. 4.

If profit is Rs. 24,500, then Simran will take 24,000 x 3/7 = Rs. 10,500.

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, Simran 's investment = 50K*36/36.
Therefore, Nanda 's investment = 80K*30/36.

Let's find ratio of investments,

=> Simran : Nanda = (50K*36/36) : (80K*30/36).
=> Simran : Nanda = (50K*36) : (80K*30).

=> Simran : Nanda = (5*6) : (8*5).
=> Simran : Nanda = 3 : 4.

=> Share of Simran in Profit at end of 3 years.

= 3*24500/(3+4).
= 3*24500/7.
= 3*3500.
= Rs. 10500.

We can also do in simple way.

See total profit = 24500.
Simran invested Rs 50000.
Nanda invested Rs 80000.

Lets take in this way 50000/80000.

It comes 5/8.

And simran invested money for 36 months, Nanda 30 months.

Lets take in this way 36/30.

It comes 6/5.

So 5/8*6/5 = 3/4, 3+4=7.

Then profit is 24500.

Lets take Simran profit is 3/7=24500 = 10500.

@Kiransai.

Have to understand Nanda joined after six months means, this 6 month will be deducted from the total time period. And from the starting of the company simran was in the business for 3 years. That means simran was in the business for 36 months and nanda joined after 6 month means (36-6). Which is 30 months? I hope this will help you.

P, Q, R enter into a partnership & their share is in the ratio 1/2:1/3:1/4, after two months, P withdraws half of the capitals & after 10 months, a profit of Rs 378 is divided among them. What is Q's share?

Please share why the investment has taken 12 months whereas the profit counted after 10 months.

A, B and C enter into partnership by making investments in the ratio 3 : 5: 7. After a year, C invests another Rs 337600 while A withdraws Rs 45600. The ratio of investments then changes to 24 : 59 : 167. How much does A invest initially?

Can anyone solve this?

It's confusing, first, Simran started company, after 6 months, Nanda joined, and after three year, they earned profits. Why is not counting month of Sirman (6+ (12*3) =42 and Nanda (12*3) =36?

Please explain.

If this is a question of partnership, we have always learnt that in case there is mention of partnership deed, we take ratio as equal.

Why in this question have we divided the profit in equivalent ratio?

If rs150 be divided among A, B, C in such a way that A gets 2/3 of B and B gets 1/4 of what C gets then their share are respectively.

Can anyone answer this?

Is Simran investing the given money every month of 36 months then * 36 or Simran is investing that money for 3 years only then for 36 months rs 50, 000?