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.
Akash patel said:
6 years ago
Let;
14x:8y:7z= 5:7:8.
As;
14x/8y=5/7,
X/y = 20/49,
Then, 8y/7z=7/8.
Y/z =49/64.
Thus x:y:z = 20:49:64.
14x:8y:7z= 5:7:8.
As;
14x/8y=5/7,
X/y = 20/49,
Then, 8y/7z=7/8.
Y/z =49/64.
Thus x:y:z = 20:49:64.
(1)
Monika singh said:
6 years ago
I have a very easy solution.
P= profit, c=capital, t=time there is a basic formula of partnership you all know.
P=c*t. (1) from here we can calculate from 1 C=p/t.
Now the profit ratio,
5:7:8
Time ratio 14:8:7
So capital (c) or investment = profit/time.
5/14 : 7/8 : 8/7 we get answer as 20:49:64 0k.
If you don't get to calculate the ratio then plzz message me.
P= profit, c=capital, t=time there is a basic formula of partnership you all know.
P=c*t. (1) from here we can calculate from 1 C=p/t.
Now the profit ratio,
5:7:8
Time ratio 14:8:7
So capital (c) or investment = profit/time.
5/14 : 7/8 : 8/7 we get answer as 20:49:64 0k.
If you don't get to calculate the ratio then plzz message me.
Ganesh said:
6 years ago
Thanks, @Monika Singh for the explanation.
(1)
Zeenat said:
5 years ago
Investment ratio x time = profit ratio.
So,
Investment ratio = profit ratio ÷ time.
A: 5/14.
B: 7/8.
C: 8/7.
Take LCM.
A : B : C
20 : 49 : 64.
So,
Investment ratio = profit ratio ÷ time.
A: 5/14.
B: 7/8.
C: 8/7.
Take LCM.
A : B : C
20 : 49 : 64.
(1)
Annamalai said:
5 years ago
Investment*time period= profit.
(1)
Gendlal Nageshwar said:
4 years ago
x:y:z= 5/14 : 7/8 : 8/7.
Let's take LCM of 14, 8 and 7 =56,
Then ,
5*4 : 7*7 : 8 : 8.
x:y:z = 20:49:64.
Let's take LCM of 14, 8 and 7 =56,
Then ,
5*4 : 7*7 : 8 : 8.
x:y:z = 20:49:64.
(15)
Pritam said:
4 years ago
Formula- investment ratio * time = profit ratio.
So, IR = PR/T.
A = 5/14. B = 7/8. C = 8/7.
Then Lcm is 112.
Then the ratio will be 40:98:128.
In short 20:49:64.
So, IR = PR/T.
A = 5/14. B = 7/8. C = 8/7.
Then Lcm is 112.
Then the ratio will be 40:98:128.
In short 20:49:64.
(5)
Pavan said:
4 years ago
Investment = profit/time.
Profit ratios= 5:7:8.
Time ratios= 14:8:7
.
5/14 , 7/8 / 8/7
The lcm of 14,8,7 = 56.
14*4=56 then 5x4=(20).
8*7=56 then 7x7=(49).
7*8=56 then 8x8=(64).
Answer: 20 : 49 : 64.
Profit ratios= 5:7:8.
Time ratios= 14:8:7
.
5/14 , 7/8 / 8/7
The lcm of 14,8,7 = 56.
14*4=56 then 5x4=(20).
8*7=56 then 7x7=(49).
7*8=56 then 8x8=(64).
Answer: 20 : 49 : 64.
(82)
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