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 3 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.
So someone explain this.
Nikhita said:
9 years ago
A:B:C = 7/2:4/3:6/5.
Take lcm of 2,3,5 which will be 30
= 7 * 15 : 4 * 10 : 6 * 6,
=105x : 40x : 36.
A share for four months =105 * 4 = 420x.
A share after 8 months= 105 * 8 = 840x.
With 50 increase of total share.
If share is 100 then A share increases of 50 % = 100 + 50 = 150/100.
Therefore, A share for 8 months wth increased share = 840 * 150/100 = 1260.
A share for 12 months = 1260 + 420 = 1680x.
B share for 12 months = 40x * 12 = 480x.
C share for 12 months = 36x * 12 = 144x.
Ratio of A : B : C = 1680x : 480x : 144x
35x : 10x : 9x.
Total profit = 21600.
B share = 21600 * 10/54.
= 4000RS.
Take lcm of 2,3,5 which will be 30
= 7 * 15 : 4 * 10 : 6 * 6,
=105x : 40x : 36.
A share for four months =105 * 4 = 420x.
A share after 8 months= 105 * 8 = 840x.
With 50 increase of total share.
If share is 100 then A share increases of 50 % = 100 + 50 = 150/100.
Therefore, A share for 8 months wth increased share = 840 * 150/100 = 1260.
A share for 12 months = 1260 + 420 = 1680x.
B share for 12 months = 40x * 12 = 480x.
C share for 12 months = 36x * 12 = 144x.
Ratio of A : B : C = 1680x : 480x : 144x
35x : 10x : 9x.
Total profit = 21600.
B share = 21600 * 10/54.
= 4000RS.
(28)
Jayasakthi said:
9 years ago
Can you please explain why we are changing the ratio into the whole number like 150?
Angel said:
9 years ago
I am not getting this solution, please explain me.
(1)
Gobi said:
9 years ago
Yeah, I also have the same doubt @Ravi Chendra.
Siva said:
9 years ago
I also have the same Confusion @Ravi Chendra.
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?
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)
Likita said:
9 years ago
Why 840 is calculated for 50% of A's share and why not 420?
(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.
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