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Aptitude - Partnership - Discussion

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

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"Forgiveness is a virtue of the brave."
- Indira Gandhi
5. 

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

[A]. 5 : 7 : 8[B]. 20 : 49 : 64
[C]. 38 : 28 : 21[D]. None of these

Answer: Option D

Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

Now, 14x = 5       98x = 40y       y = 49 x
8y 7 20

And, 14x = 5       112x = 35z       z = 112 x = 16 x.
7z 8 35 5

x : y : z = x : 49 x : 16 x = 20 : 49 : 64.
20 5


Anju said: (Sat, Jul 2, 2011 02:18:37 AM)    
 
Is there any easier solution for this sum?

Juhi said: (Tue, Jul 5, 2011 05:29:18 AM)    
 
How it is possible that ratio of their investments are=ratio of their profits ?

Yogesh said: (Sun, Dec 25, 2011 04:34:49 PM)    
 
How is 20 come can any body describe me?

Saravanan.O said: (Fri, Jan 6, 2012 10:42:06 AM)    
 
I am not understand the answer could you please explain me?

Mahesh said: (Mon, Jan 16, 2012 08:47:39 PM)    
 
Hello Yogesh ,LCM of x : 49x/20 : 16x/5 = 20: 49: 64

Mahesh said: (Mon, Jan 16, 2012 08:51:08 PM)    
 
Hello saravanan ,
Formula
---------
(investment of A X duration in months) : (investment of B X duration in months) : (investment of C X duration in months) = A's Profit : B's Profit :C's Profit

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