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.
Swati said:
8 years ago
@Swetha & @Poonam thanks.
Swetha said:
9 years ago
Superb explanation @Poonam.
Thank you.
Thank you.
Saurabh patil said:
9 years ago
Superb explanation, thank you all.
Pavan said:
9 years ago
Apply the simple formula for this.
Profit(P) = capital investment (C) * time(T).
So,
C = P/T,
All the problems of partnership solved using this formula.
Profit(P) = capital investment (C) * time(T).
So,
C = P/T,
All the problems of partnership solved using this formula.
Sandy.j said:
9 years ago
From the soln 20:49:64.
20 is divided by 5, 49 divided by 7 and 64 is divided by 8.
From that, we get 5 : 7 : 8. Try this method, it is simple to solve.
20 is divided by 5, 49 divided by 7 and 64 is divided by 8.
From that, we get 5 : 7 : 8. Try this method, it is simple to solve.
Ryan said:
9 years ago
@Pooonam.
Your method is easy to understand the solution, Thanks.
Your method is easy to understand the solution, Thanks.
Monir said:
9 years ago
Your method is easy. Thanks @Poonam.
Rajesh said:
9 years ago
How 20:49:64 will come? Can anyone explain me clearly?
Rajvanshi said:
9 years ago
Let initial A's, B's, C's investment is Rs x, y, z respectively.
Let the Profit is "P".
A : B : C = 14x : 8y : 7z (INVESTMENTS).
A's profit = P * 14x/(14x + 8y + 7z);
B's profit = P * 8y/(14x + 8y + 7z).
Now, A : B (Profit ratio is given) = 5/7.
Equating the both sides we get answers.
Let the Profit is "P".
A : B : C = 14x : 8y : 7z (INVESTMENTS).
A's profit = P * 14x/(14x + 8y + 7z);
B's profit = P * 8y/(14x + 8y + 7z).
Now, A : B (Profit ratio is given) = 5/7.
Equating the both sides we get answers.
Kishan said:
9 years ago
Thanks @Swetha.
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