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 3 of 6.
Aakash said:
8 years ago
Best explanation, Thanks @Poonam.
MAHESH said:
8 years ago
Hi @Swetha.
Nice.
But why 56 multiplied with those ratios?
Nice.
But why 56 multiplied with those ratios?
Shraddha said:
8 years ago
Here we can use options.
Investment = 20x*14: 49x*8: 64x*7.
Investment ratio = profit ratio.
If we solve this ratio then we get 5:7:8 which is exactly equal to the given profit ratio.
Investment = 20x*14: 49x*8: 64x*7.
Investment ratio = profit ratio.
If we solve this ratio then we get 5:7:8 which is exactly equal to the given profit ratio.
Jothi said:
8 years ago
Really very useful. Thank you for the explanation.
Mir Rokon Uddin said:
7 years ago
According to me, the question is missing accurate information. They should have used what ratio of their monthly investment instead of their investment. The ratio of their total investment is same as the ratio of profit sharing (5:7:8).
Pardu said:
7 years ago
Thank you @Swetha.
Sharon Thomas said:
7 years ago
@Swetha.
Nice, Very well explained.
Nice, Very well explained.
Sagar said:
7 years ago
5/14:7/8:8/7 take LCM of 14,8,7 is 56.
Multiply it 5/14 * 56 = 20.
Multiply it 5/14 * 56 = 20.
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.
Masterneeji said:
1 decade ago
Before finding least common multiple, bring all terms to x.
Any partnership problem.
Month=m; Investment=i.
I'm 1: I'm 2 : I'm 3 = p1:p2:p3.
If any changes like 50% more add to.
Any partnership problem.
Month=m; Investment=i.
I'm 1: I'm 2 : I'm 3 = p1:p2:p3.
If any changes like 50% more add to.
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