Aptitude - Partnership - Discussion

Discussion Forum : Partnership - General Questions (Q.No. 13)
13.
Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Rs. 890
Rs. 1335
Rs. 1602
Rs. 1780
Explanation:

Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)

= 48 : 32 : 64

= 3 : 2 : 4.

 Kamal's share = Rs. 4005 x 2 = Rs. 890. 9

Discussion:
15 comments Page 1 of 2.

Esha Shah said:   8 years ago
Why is Arun's share counted while computing Kamal's profit. Specially when the profit has come after 8 months. Shouldn't Arun now be considered a defunct or non-existant partner and the only two partners that matter now be Kamal and Vinay?

Shubhangi said:   8 years ago
How comes 2/9?

Ritesh said:   8 years ago
Profit comes after 8 months and Arun left in 6 six months then why should here it is considered that Arun still has a share in profit. Why Arun's profit is not divided in between Kamal and Vinay.
(1)

SHUBH M said:   8 years ago
@Shruti you have taken wrong entries. Check it out. There is 8000*6: 4000*8: 8000*8.
(1)

Shruti said:   9 years ago
Why haven't we taken the ratio as 3 : 4 : 8?

Arun : Kamal : Vinay.

= 4000*6 : 4000*8 : 8000*8.

= 24 : 32 : 64.

= 3 : 4 : 8.

How can we solve it further, when there is no common factor among the three of these. Kindly let me know. My answer is coming out to be:

Kamal's Share: 4/15 * 4005 = Rs. 1068 /-.
(1)

SUKUMAR SATYEN said:   9 years 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, Arun's investment = 8K*6/8.
Therefore, Kamal's investment = 4K*8/8.
Therefore, Vinay's investment = 8K*8/8.

=> Arun : Kamal : Vinay = (8K*6/8) : (4K*8/8) : (8K*8/8).
=> Arun : Kamal : Vinay = (8K*6) : (4K*8) : (8K*8).
=> Arun : Kamal : Vinay = (1*6) : (4*1) : (1*8).

=> Arun : Kamal : Vinay = 3 : 2 : 4.

=> Share of Kamal in Profit at end of 8 months.

= 2*4005/(3+2+4).
= 2*4005/9.
= 2*445.
= Rs. 890.

Thanks.
(2)

Chetan Dharni said:   1 decade ago
Gain or profit is same bro that's by we are considered 4005 as profit.

@SPOORTHI.

Because they got the profit after 8 months. So, they will consider it fro 8 months.