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 2 of 6.
Felix Ikpabi said:
8 years ago
First divide each profit ratio by its corresponding investment period for the particular partner, that is;
5/14, 7/8, 8/7.
Now take LCM of the denominators 14,8,7 which is 56 then,
Finally, divide this 56 by each denominator and multiply the answer obtained by the corresponding numerator and write the value separately, do this for the three fraction and see
{56/14*5}=20, {56/8*7}=49, and {56/7*8}=64.
5/14, 7/8, 8/7.
Now take LCM of the denominators 14,8,7 which is 56 then,
Finally, divide this 56 by each denominator and multiply the answer obtained by the corresponding numerator and write the value separately, do this for the three fraction and see
{56/14*5}=20, {56/8*7}=49, and {56/7*8}=64.
(1)
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.
Rajesh said:
9 years ago
How 20:49:64 will come? Can anyone explain me clearly?
Monir said:
9 years ago
Your method is easy. Thanks @Poonam.
Ryan said:
9 years ago
@Pooonam.
Your method is easy to understand the solution, Thanks.
Your method is easy to understand the solution, Thanks.
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.
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.
Saurabh patil said:
9 years ago
Superb explanation, thank you all.
Swetha said:
9 years ago
Superb explanation @Poonam.
Thank you.
Thank you.
Swati said:
8 years ago
@Swetha & @Poonam thanks.
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