Aptitude - Partnership - Discussion

Discussion Forum : Partnership - General Questions (Q.No. 12)
12.
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
7 : 6 : 10
12 : 15 : 16
42 : 45 : 56
Cannot be determined
Answer: Option
Explanation:

Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.

Discussion:
21 comments Page 2 of 3.

SUKUMAR SATYEN said:   1 decade ago
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.

Shivam said:   1 decade ago
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.

Archana said:   1 decade ago
How its 12:15:16? Please explain.
(1)

Mohit God said:   10 years ago
70000 : 105000 : 140000.

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

And here it becomes 12:15:16.
(2)

Paveekazhagab said:   10 years ago
@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.
(4)

Ganesh Tandel said:   10 years ago
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.
(7)

Manish ranjan said:   10 years ago
The rate of earning or losing money is not same in cases when only 1 was there, when there were 2 and when there were three.

Elavarasen said:   8 years ago
Why divided by 21?
(2)

Omkar said:   4 years ago
Why divided by 21? Please explain.

Ewere said:   1 year ago
How did you get 36, 30, 24 here? Please elaborate it.
(2)


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