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.
Saroj said:
1 decade ago
Thank you manoj.
Kalam said:
1 decade ago
Please explain how we got 105:40:36?
Lechisagadisa said:
1 decade ago
Find the minimum number that will be divide 2,3 and 5 simultaneously.
That is known as LEAST COMMON DENOMINATOR.It will be 30.
Then 7*15/30,4*10/30,6*6/30. BUT 15,10,6 are by dividing(the given denominator 2,3,5 with LCM=30).
Then we can avoid the common denominator 30,and Finally we can get 105=15*7, 40= 4*10, and 36= 6*6.
Thank you Rocky.
That is known as LEAST COMMON DENOMINATOR.It will be 30.
Then 7*15/30,4*10/30,6*6/30. BUT 15,10,6 are by dividing(the given denominator 2,3,5 with LCM=30).
Then we can avoid the common denominator 30,and Finally we can get 105=15*7, 40= 4*10, and 36= 6*6.
Thank you Rocky.
Divya said:
1 decade ago
First divide 1680:480:432
by 48,we wil get 35:10:9
then add al of them we wil get 54
then divide [21600*10 /54]=ans
by 48,we wil get 35:10:9
then add al of them we wil get 54
then divide [21600*10 /54]=ans
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
Rajinikanth.h.c said:
1 decade ago
A=(105*4months)+((105*8months)+50%(105*8months))
=420+(420+840)
=1680
B=40*12months
=480
C=36*12months
=432
now u devide the above values by 48(all 3 values r devided without any fraction value)then u will get 35:10:9....
then add all 3 shares 35+10+9=54
for B share=21600*(B share/total share)
=21600*(10/54)
=4000rs
=420+(420+840)
=1680
B=40*12months
=480
C=36*12months
=432
now u devide the above values by 48(all 3 values r devided without any fraction value)then u will get 35:10:9....
then add all 3 shares 35+10+9=54
for B share=21600*(B share/total share)
=21600*(10/54)
=4000rs
(1)
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?
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.
Prerna said:
1 decade ago
Hey clear my doubt why a is multiply with 8 and why why we take 50% of 8 yet here is only ask about the 50% of 4 month. Then why on 8 ?
Yashal said:
1 decade ago
Please explain why we multiply a's share with 150/100 ?
105x x 4 + (150/100) x 105x x 8
105x x 4 + (150/100) x 105x x 8
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