Aptitude - Partnership - Discussion

Discussion Forum : Partnership - General Questions (Q.No. 3)
3.
A, B and C enter into a partnership in the ratio : : . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
Rs. 2100
Rs. 2400
Rs. 3600
Rs. 4000
Answer: Option
Explanation:

Ratio of initial investments = 7 : 4 : 6 = 105 : 40 : 36.
2 3 5

Let the initial investments be 105x, 40x and 36x.

A : B : C = 105x x 4 + 150 x 105x x 8 : (40x x 12) : (36x x 12)
100

   = 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs. 21600 x 10 = Rs. 4000.
54

Discussion:
74 comments Page 4 of 8.

Alan said:   9 years ago
So the ratio of investment of A, B, C is based on the status at the end of the year, no matter what's the share in the middle of it. Suppose A invest very little in the first 11 month, and increase a large amount in the 12th month, then he can still gain a big share of the profit.

So someone explain this.

Divya said:   1 decade ago
First divide 1680:480:432
by 48,we wil get 35:10:9
then add al of them we wil get 54
then divide [21600*10 /54]=ans

Kalam said:   1 decade ago
Please explain how we got 105:40:36?

Gobi said:   9 years ago
Yeah, I also have the same doubt @Ravi Chendra.

Lechisagadisa said:   1 decade ago
Find the minimum number that will be divide 2,3 and 5 simultaneously.

That is known as LEAST COMMON DENOMINATOR.It will be 30.

Then 7*15/30,4*10/30,6*6/30. BUT 15,10,6 are by dividing(the given denominator 2,3,5 with LCM=30).

Then we can avoid the common denominator 30,and Finally we can get 105=15*7, 40= 4*10, and 36= 6*6.

Thank you Rocky.

Gopal said:   8 years ago
Explain, How 1680:4800:432 comes 35:9:10?

Nagu said:   1 decade ago
As per question A increase his share 50%, it means A's contribution.

1 year = 12 month.

4 month 105*4 = 420.

Remaining 8 month is 105*8 = 840.

Saroj said:   1 decade ago
Thank you manoj.

Dhivya said:   1 decade ago
A : B : C = 105x x 4 + 150 x 105x x 8: (40x x 12) : (36x x 12)

= 1680x : 480x : 432x = 35 : 10 : 9.

Anyone explain this step i didn't understand.

Ash said:   7 years ago
I agree @Rangeet. If A's share changes that changes other partners share.


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