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.

Prakash said:   1 decade ago
Why should we divide by 21?

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.

Sohan Goswami said:   1 decade ago
Why months, not years?If I calculate taking no of years the answer is not coming.

Pavani said:   1 decade ago
The other two people joined after aman, so the number of months should increase, but why the months are decreasing like 30 and 24.

Mithun said:   1 decade ago
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.

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.

Selvabharathi a said:   1 decade ago
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

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

Talha said:   1 decade ago
How is (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16 ?

Please explain it


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