Aptitude - Partnership - Discussion

Discussion Forum : Partnership - General Questions (Q.No. 5)
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?
5 : 7 : 8
20 : 49 : 64
38 : 28 : 21
None of these
Answer: Option
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

Discussion:
58 comments Page 6 of 6.

Mohankumar said:   1 decade ago
This is mohan,

Your answer is write there is no words i have, but your answer is more confusing and very difficult to understand this answer. can u explain me another way

Zishan said:   1 decade ago
Here it use a formula. i.e explaning with example.
Suppose a invest Rs x for p months & b invest Rs why for q months. Then.
(a's share of profit) : (b's share of profit) = xp : yq.

Mahesh said:   1 decade ago
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

Mahesh said:   1 decade ago
Hello Yogesh ,LCM of x : 49x/20 : 16x/5 = 20: 49: 64

Saravanan.O said:   1 decade ago
I am not understand the answer could you please explain me?

Yogesh said:   1 decade ago
How is 20 come can any body describe me?

Juhi said:   1 decade ago
How it is possible that ratio of their investments are=ratio of their profits ?

Anju said:   1 decade ago
Is there any easier solution for this sum?


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