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Aptitude - Partnership - Discussion

@ : Home > Aptitude > Partnership > General Questions - Discussion

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"Nothing is impossible to a willing heart."
- (Proverb)
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:

[A]. Rs. 2100[B]. Rs. 2400
[C]. Rs. 3600[D]. Rs. 4000

Answer: Option A

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

Anurag said: (Tue, Oct 19, 2010 01:50:32 AM)    
 
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.
Priya said: (Tue, Nov 30, 2010 03:32:03 AM)    
 
@Anurag.

Thank for good explanation. Really helpful.
Md Rizwan said: (Thu, May 5, 2011 04:03:53 AM)    
 
7 : 4 : 6 = 105 : 40 : 36.
2 3 5
Plz Explain
Usha said: (Sat, Jun 4, 2011 07:51:31 AM)    
 
Please explain that 105:40:36 how you are taken this.
Pradeep Induru said: (Fri, Jun 17, 2011 05:08:50 AM)    
 
How could you get that 105:40:36?
Ally said: (Fri, Jun 17, 2011 02:55:45 PM)    
 
Please explain from where did you get. 105: 40: 36.
Senthil said: (Wed, Jun 22, 2011 09:26:44 PM)    
 
105:40:36 how ?

Ans: Take lcm for 2,3,5 Hhich is in denomonator

LCM = 30
Then 30*(7/2)=105; like this we can get for remaining.
Ravindra said: (Thu, Jul 28, 2011 07:33:08 PM)    
 
7 : 4 : 6 = 105 : 40 : 36.
2 3 5
Plz Explain me
Manoj Rocky said: (Thu, Aug 4, 2011 03:41:41 PM)    
 
7/2 :4/3 :6/5

Take L.C.M FOR 2,3,5. ANS:30

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

I hope you got the answer.
Dhivya said: (Fri, Aug 12, 2011 02:22:26 PM)    
 
A : B : C = 105x x 4 + 150 x 105x x 8: (40x x 12) : (36x x 12)

= 1680x : 480x : 432x = 35 : 10 : 9.

Anyone explain this step i didn't understand.
Saroj said: (Wed, Aug 24, 2011 11:27:37 AM)    
 
Thank you manoj.
Kalam said: (Sat, Sep 3, 2011 01:01:00 PM)    
 
Please explain how we got 105:40:36?
Lechisagadisa said: (Sat, Sep 17, 2011 06:14:52 PM)    
 
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.
Divya said: (Thu, Sep 29, 2011 03:14:11 PM)    
 
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
Mukund said: (Mon, Oct 3, 2011 02:58:51 PM)    
 
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
Rajinikanth.H.C said: (Sat, Dec 3, 2011 03:27:43 PM)    
 
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
Ranjeet said: (Wed, Jan 4, 2012 01:01:39 AM)    
 
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?
Alekhya said: (Fri, Jan 27, 2012 09:19:50 PM)    
 
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.
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