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.
Lavanya said:
1 decade ago
Can anyone explain why we multiply a's share with 150/100?
105x*4+ (150/100) *105x*8.
105x*4+ (150/100) *105x*8.
(1)
J.k tamta said:
1 decade ago
7/2 of A's share for 4 month , 7/2*4= 14. and the remaining (14+7/4+7/2)*8= 56.EXPlAIN his share 7/2 kept for 4 month in business that is 14 . and 50% he increses after 4 month that is 7/4 now his share = 7/2+7/4*8 =42 , now 14+42=56 same as for B that is 4/3*12=16 and for C 6/5*12=14.4 now ratio is 56:16:14.4 = 86.4 B's share 16/86.4*21600= 4000 ANSWER
Anu said:
1 decade ago
Why we want to divide this ratio 160x:480x:432x by 48 only not by any number.
Shashi said:
1 decade ago
Can anyone explain why we multiply a's share with 150/100?
105x*4+ (150/100) *105x*8.
105x*4+ (150/100) *105x*8.
Vikas said:
1 decade ago
@ lavanya.
A increased his stake by 50% so it will be 100+50=150% i.e. 150/100.
A increased his stake by 50% so it will be 100+50=150% i.e. 150/100.
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.
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.
Sangeethamonica said:
1 decade ago
Why should we divide by 48?. Have doubt can you explain.
JOSEPH SABAR said:
1 decade ago
How can I remember to the short form of the Partnership of Mathematics solved it my problem?
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)
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