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:
: : . 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:
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 5 of 8.
Shubham said:
10 years ago
Short cut not available brother.
Muhammed Afees said:
10 years ago
Total profit calculated for 1 year.
So 1 year = 12 month.
Partnership ratio 7/2:4/3:6/5, we need to expand this ratio.
i.e, 7/2:4/3:6/5.
In this we need to take 30 = 2*3*5 common factor based on which we need expand.
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.
Hence expand ratio = 105:40:36.
(105*4) + (105*150/100) *8) : (40*12) : (36*12).
So 1 year = 12 month.
Partnership ratio 7/2:4/3:6/5, we need to expand this ratio.
i.e, 7/2:4/3:6/5.
In this we need to take 30 = 2*3*5 common factor based on which we need expand.
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.
Hence expand ratio = 105:40:36.
(105*4) + (105*150/100) *8) : (40*12) : (36*12).
Manisha said:
10 years ago
How you got 105:40:36?
Bhuvana said:
10 years ago
Can anyone explain me why we calculate the share for 1 year?
Here it gave for only 4 months. Then A's share will be increase by 50%.
I didn't understand.
Here it gave for only 4 months. Then A's share will be increase by 50%.
I didn't understand.
(1)
Nagu said:
10 years 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.
1 year = 12 month.
4 month 105*4 = 420.
Remaining 8 month is 105*8 = 840.
Likita said:
9 years ago
Why 840 is calculated for 50% of A's share and why not 420?
(1)
Udhaya said:
9 years ago
First find the ratio.
Which is 105:40:36?
They have given A's share increases after 4 months which means for first 4 months it remains same and the next 8 months (as there are 12 months in a year) it increases by 50%, so we need to calculate first for 4 months separately and the for next 8 months after increasing by 50%.
A's contribution for 4 months = 105 * 4 = 420.
A's contribution for remaining 8 months = 105 * 8 = 840.
As A's share increases in this 8 months, we need to calculate it,
840 + (840/2) = 840 + 420 = 1260.
50% increase means 840/2.
Finally for a year=420+1260=1680.
50% increase of 840.
So,
840 + (*820/2) = 820 + 420 = 1260.
Which is 105:40:36?
They have given A's share increases after 4 months which means for first 4 months it remains same and the next 8 months (as there are 12 months in a year) it increases by 50%, so we need to calculate first for 4 months separately and the for next 8 months after increasing by 50%.
A's contribution for 4 months = 105 * 4 = 420.
A's contribution for remaining 8 months = 105 * 8 = 840.
As A's share increases in this 8 months, we need to calculate it,
840 + (840/2) = 840 + 420 = 1260.
50% increase means 840/2.
Finally for a year=420+1260=1680.
50% increase of 840.
So,
840 + (*820/2) = 820 + 420 = 1260.
(1)
Ravi Chendra V said:
9 years ago
I had a confusion,
A: 7/2 * 15/15 = 105/30
B: 4/3 * 10/10 = 40/30
C: 6/5 * 6/6 = 36/30
Hence it is 105:40:36
Here, How we get 15/15 and 10/10 and 6/6 can anyone explain this?
A: 7/2 * 15/15 = 105/30
B: 4/3 * 10/10 = 40/30
C: 6/5 * 6/6 = 36/30
Hence it is 105:40:36
Here, How we get 15/15 and 10/10 and 6/6 can anyone explain this?
Siva said:
9 years ago
I also have the same Confusion @Ravi Chendra.
Gobi said:
9 years ago
Yeah, I also have the same doubt @Ravi Chendra.
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