Aptitude - Partnership - Discussion

14. 

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

[A]. Rs. 9,423
[B]. Rs. 10,250
[C]. Rs. 12,500
[D]. Rs. 10,500

Answer: Option D

Explanation:

Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4.

Simran's share = Rs. 24500 x 3 = Rs. 10,500.
7

Navneet Sama said: (Jun 19, 2010)  
From where these came (3 : 4.) 3.4's ratio, I dint get that figure.

Would you please tell me?

Siva Sundararajan said: (Jun 19, 2010)  
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.

Muthuvel said: (Feb 16, 2011)  
Thanks for your explanation.

Ina said: (Feb 16, 2011)  
Thankx:).

Hshaash said: (Apr 14, 2011)  
Thanks.

Manoj Rocky said: (Aug 4, 2011)  
Awesome explanation. Well said :).

Kiransai Laxmi said: (Oct 22, 2012)  
If profit is Rs. 24,500, then Simran will take 24,000 x 3/7 = Rs. 10,500.

In this why did you take 24,000 profit, instead of taking 24,500 profit?

Ravi said: (Aug 30, 2013)  
Similarly if you calculate Nandan's profit and add it the some will be not be 24500.

Vinod Rathod said: (Sep 18, 2013)  
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.

Vivekanandh.P said: (Mar 17, 2014)  
Why 36 months how is it possible?

Rakesh said: (Jun 20, 2014)  
@Vivekanandh.

One year = 12 months. So, 3 years means 12*3=36.

Sukumar Satyen said: (Jun 13, 2015)  
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.

Tejas said: (Apr 7, 2016)  
Thanks for easy solution.

Bhagatsingh said: (May 12, 2016)  
How it's 36 months? Please explain it by step by step.

Thanks in advance.

Rachael Amoah said: (Jun 22, 2016)  
Bhagatsingh it is 36 months because 12 months make a year and the year given was 3 years.

So, 3 * 12 months = 36 months.

Ria Madhwani said: (Feb 27, 2017)  
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?

Chesta said: (May 21, 2017)  
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?

Shreya said: (Jul 4, 2017)  
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.

Rajas said: (Oct 1, 2017)  
It should be 50000*6+80000*30 because within 6mnth Simran invested that much money.

Kiarks said: (Jan 22, 2018)  
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.

Pritish Sahu said: (Feb 18, 2018)  
@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.

Yogini Tembe said: (Apr 2, 2018)  
How 80000*30 comes?

Yasha Gadodiya said: (Sep 9, 2018)  
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?

Josep said: (Feb 15, 2019)  
How come 3 here?

Anitha said: (May 8, 2019)  
Nice explanation, Thanks all.

Jahnavi said: (May 17, 2019)  
Thanks all for your explanation.

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