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?
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.
Suhana said:
10 years ago
How to find LCM?
Swagatika said:
9 years ago
Good explanation, Thanks @Swetha.
Jennifer said:
9 years ago
@Swetha.
Nice explanation. Thank you.
Nice explanation. Thank you.
Mani Sankar said:
9 years ago
Profit = Investment * time.
P = I * T,
I = P / T,
x:y:z = 5/14 : 7/8 : 8/7,
=> 20:49:64.
P = I * T,
I = P / T,
x:y:z = 5/14 : 7/8 : 8/7,
=> 20:49:64.
Venkat said:
9 years ago
Can anyone expalin me this problem.
Koperunchelli said:
9 years ago
I am not getting this, Anyone explain clearly & shortly?
Poonam said:
9 years ago
Lets try this:
After equating the profits, we left with,
14x : 8y : 7z = 5 : 7 : 8.
=> x=5/14 , y=7/8, z=8/7.
take l.c.m of 14,8,7. we get 56.
x = 5/14*56 = 20.
y = 7/8*56 = 49.
z = 8/7*56 = 64.
So, investments x:y:z = 20:49:64.
After equating the profits, we left with,
14x : 8y : 7z = 5 : 7 : 8.
=> x=5/14 , y=7/8, z=8/7.
take l.c.m of 14,8,7. we get 56.
x = 5/14*56 = 20.
y = 7/8*56 = 49.
z = 8/7*56 = 64.
So, investments x:y:z = 20:49:64.
Kishan said:
9 years ago
Thanks @Swetha.
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