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 1 of 6.
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.
(80)
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)
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)
Annamalai said:
5 years ago
Investment*time period= profit.
(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)
Ganesh said:
6 years ago
Thanks, @Monika Singh for the explanation.
(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.
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)
Elumalai said:
7 years ago
In the income statement of Asha and Ravenna, the ratio of their income of the year 2017 was 5: 4. The ratio of Asha's income of the year 2018 to that of 2017 is 3: 5 and the ratio of Ravenna's income of the year 2018 to that of 2017 is 3: 2. If 10, 242 is the sum of the income of Asha and Ravenna in the year 2018, then find the income of Ravenna for the year 2017?
Can anyone solve this?
Can anyone solve this?
(3)
Adik said:
7 years ago
Yes, agree @Sandy.J.
The Answer is 5 :7: 8.
The Answer is 5 :7: 8.
(2)
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