Aptitude - Partnership - Discussion
Discussion Forum : Partnership - General Questions (Q.No. 7)
7.
A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 
of his capital and B withdrew 
of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Answer: Option
Explanation:
| A : B = |  |
4x x 3 + |  |
4x - | 1 | x 4x |  |
x 7 |  |
: | |
5x x 3 + | |
5x - | 1 | x 5x | |
x 7 | |
| 4 | 5 |
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.
 A's share = Rs. |
|
760 x | 33 | |
= Rs. 330. |
| 76 |
Discussion:
38 comments Page 3 of 4.
Priya14 said:
1 decade ago
Where does this 7 came? Explain me please.
SUKUMAR SATYEN said:
1 decade ago
Following is Correct explanation:
Given that, Investment ratio of A and B = 4:5.
Let's assume that at 1st day, A's share = 4X and B's share = 5X.
Let's assume that Total investment period was for 10 months and after that business ceased to exist....equation (1).
Therefore, we will calculate A's total investment for 10 months.
= A's investment for 3 months + A's investment for 7 months.
= 4X*3/10+(4X-4X/4)*7/10.
= 12X/10+21X/10.
= 33X/10.
Using equation (1), we will calculate B's total investment for 10 months.
= B's investment for 3 months + B's investment for 7 months.
= 5X*3/10+(5X-5X/5)*7/10.
= 15X/10+28X/10.
= 43X/10.
PROFIT should be shared on basis of Total Investment for time period of 10 months, alike following ratio: -.
33X/10:43X/10.....equation (2).
Let's calculate A's Share.
= 33X/10/[(33X/10)+(43X/10)]*760.
= 33X/10/[76X/10)]*760.
= 33X*760/76X.
= Rs. 330.
Note:
First, We can also write equation (1) as 33:43 and solve for A's share.
Second, If A (or B) 's investment be one-time, then X will be larger. If A (or B) 's investment be recurring every month, then X will be smaller, until 3 months from execution of Partnership agreement.
Thanks.
Given that, Investment ratio of A and B = 4:5.
Let's assume that at 1st day, A's share = 4X and B's share = 5X.
Let's assume that Total investment period was for 10 months and after that business ceased to exist....equation (1).
Therefore, we will calculate A's total investment for 10 months.
= A's investment for 3 months + A's investment for 7 months.
= 4X*3/10+(4X-4X/4)*7/10.
= 12X/10+21X/10.
= 33X/10.
Using equation (1), we will calculate B's total investment for 10 months.
= B's investment for 3 months + B's investment for 7 months.
= 5X*3/10+(5X-5X/5)*7/10.
= 15X/10+28X/10.
= 43X/10.
PROFIT should be shared on basis of Total Investment for time period of 10 months, alike following ratio: -.
33X/10:43X/10.....equation (2).
Let's calculate A's Share.
= 33X/10/[(33X/10)+(43X/10)]*760.
= 33X/10/[76X/10)]*760.
= 33X*760/76X.
= Rs. 330.
Note:
First, We can also write equation (1) as 33:43 and solve for A's share.
Second, If A (or B) 's investment be one-time, then X will be larger. If A (or B) 's investment be recurring every month, then X will be smaller, until 3 months from execution of Partnership agreement.
Thanks.
(2)
Nupoor said:
1 decade ago
Couldn't get any of the method? Please explain me with simple steps.
(1)
Charmy said:
1 decade ago
Why should we take 7?
Roshni said:
1 decade ago
Ratio = 4:5.
1/4*(4) = 1.
4-1 = 3.
Therefore 4*3 months + 3*7 months = 33.
1/5*(5) = 1.
5-1 = 4.
Therefore 5*3 months + 4*7 months = 43.
So, gain ratio is 33:43.
Total gain is 760/-
A's share is (33*760)/76 = 330.
1/4*(4) = 1.
4-1 = 3.
Therefore 4*3 months + 3*7 months = 33.
1/5*(5) = 1.
5-1 = 4.
Therefore 5*3 months + 4*7 months = 43.
So, gain ratio is 33:43.
Total gain is 760/-
A's share is (33*760)/76 = 330.
(5)
Sindhu said:
1 decade ago
For that (4x-1/4*x):(5x-1/5*5).
We are applying like this,
Assume a=4x, b=x/4, c=5, d=x/5.
b*c/a*d.
If we apply like this we can easily get 3x:4x.
We are applying like this,
Assume a=4x, b=x/4, c=5, d=x/5.
b*c/a*d.
If we apply like this we can easily get 3x:4x.
Nani said:
1 decade ago
They did not take the capital as x.
The numbers were assumed to be 4x and 5x because their ratios were 4:5.
The numbers were assumed to be 4x and 5x because their ratios were 4:5.
Bala said:
1 decade ago
Why did you take both the capital of A and B as x (instead of x and y) ?
In the question it was not mentioned that both the capitals are same know?
In the question it was not mentioned that both the capitals are same know?
(1)
Darshan said:
1 decade ago
Withdrew means reducing the capital right?
(1)
Pavithran said:
1 decade ago
Its not (4x-1/4*x) guys. Its (4x-1/4*4x).
(1)
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