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 2 of 8.

Pradeep kumar said:   7 years ago
@All.

In partnership, profits are shared at the end of the year but not at point of changes in ratios in case profits are to be distributed periodically the profits should be ascertained for same periods b cause profits Maybe high in first 4 months and finally adjusted to 21600 another issue all partners ratios together should be equal to 1 again the extra 50% share of A shall be contributed by B and C so as to equal to 1.
(1)

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

Prasant pant said:   7 years ago
Initially, A has Rs.105x investment for 4 months. After 4 months, he increased 50 percent of his Rs.105x(share) into a partnership for remaining months.So;

4 months =4*105x.
months (12-4) = 8 months = 8(105x+(50/100) * 105x).

(4*105x+8(105x+(50/100)*105x) : 12*40 : 12*36) = 1680:4800:432 = 35:10:9(when divided by 48).

Hence, B's share = Rs. 21600 * 10/(sum of 35,10,9) = Rs. 4000.
(10)

Mansi said:   7 years ago
How to calculate new profit sharing ratio of partners?
(2)

Pavanreddy said:   7 years ago
Why multiped and divided 15, 10, 6?

A = 7/2 = 15*7/15*2 = 105/30.
B = 4/3 = 10*4/10*3 = 40/30.
C = 6/5 = 6*6/5*6 = 36/30.
(7)

Gopal said:   7 years ago
Explain, How 1680:4800:432 comes 35:9:10?

Kram said:   8 years ago
How is 150/100? please explain.
(2)

Munna singh said:   8 years ago
Very good explanation, Thank you all.

Waqas said:   8 years ago
Please, explain how the ratio 35:10:9?

Shodhu said:   8 years ago
From where did that 150/100 arise?


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