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 2 of 8.
Sravani said:
1 decade ago
Hi friends its very easy.
Has given in question first two steps you are understood.
3rd step is the total profit at the end of 1 year 21600.
So. (105*4+150/100*8) (40*12) (36*12).
After 4 months means 105*4. 15% increase means 150/100 we have to take,
1680 480 432
35 10 9 total 54.
54......21600
10.......?
21600*10/54 = 4000.
Has given in question first two steps you are understood.
3rd step is the total profit at the end of 1 year 21600.
So. (105*4+150/100*8) (40*12) (36*12).
After 4 months means 105*4. 15% increase means 150/100 we have to take,
1680 480 432
35 10 9 total 54.
54......21600
10.......?
21600*10/54 = 4000.
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.
Mukund said:
1 decade ago
I can't find sufficent explanation of this ans please exsplain again
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. q
54
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. q
54
Manish singh said:
1 decade ago
@Prerna.
There we have to take the year as a 1 year means 12 month so already in question after 4 month means renaming month we have to take (12-4=8) for that 50% that we have to take for remaining month and we have to exclude 4 month because after 4 month only he invest.
There we have to take the year as a 1 year means 12 month so already in question after 4 month means renaming month we have to take (12-4=8) for that 50% that we have to take for remaining month and we have to exclude 4 month because after 4 month only he invest.
Dushyant Verma said:
1 decade ago
A's share of 4 month = 7/2 * 4 = 14.
A's share of 8 month = (50% of 7/2)*8 = 21/4*8 = 42.
A's share total 12 months = 14 +42 = 56.
B's share total 12 months = 4/3 *12 = 16.
C's share total 12 months = 6/5 *12 = 14.4.
Now,
B's profit = 21600*(16/86.4) = 4000.
A's share of 8 month = (50% of 7/2)*8 = 21/4*8 = 42.
A's share total 12 months = 14 +42 = 56.
B's share total 12 months = 4/3 *12 = 16.
C's share total 12 months = 6/5 *12 = 14.4.
Now,
B's profit = 21600*(16/86.4) = 4000.
(5)
Alekhya said:
1 decade ago
Here total profit is getting after 1 year i.e,, 12 months so 'a' increases profit after 4 months rest of the months is 8 answer increses to 50% so that we got 105x x 4+ 105x x 8+ 150/100 and rest of them for B and C ie for 12 months.
Nani said:
1 decade ago
@Shashi.
105x*4+ (150/100) *105x*8.
Step 1: first 4 months.
Step 2: + 50% increase(150/100)*8months (remaining 8months adding) total one year.
Multiply:
105x*4 = 420x.
(150/100)*105x*8 = 1.5* 840x= 1260x.
420x+120x = 1680x.
105x*4+ (150/100) *105x*8.
Step 1: first 4 months.
Step 2: + 50% increase(150/100)*8months (remaining 8months adding) total one year.
Multiply:
105x*4 = 420x.
(150/100)*105x*8 = 1.5* 840x= 1260x.
420x+120x = 1680x.
ANURAG said:
1 decade ago
As per question A increase his share 50%, it means A's contribution
Contribution 4 moth
105*4 = 420
A's contribution for 8 month will be
105*8 = 840
50% increase of 840 is 1260
For 12 month = 1260 + 420 = 1680.
Contribution 4 moth
105*4 = 420
A's contribution for 8 month will be
105*8 = 840
50% increase of 840 is 1260
For 12 month = 1260 + 420 = 1680.
Ranjeet said:
1 decade ago
There is something wrong in answer if A increase his share it will also change the ratio of share others mean it would not be 40x:36x for B and C.
Is anybody here clear my doubt?
Is anybody here clear my doubt?
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?
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