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 5 of 6.
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.
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)
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.
Felix said:
7 years ago
There is a concept related to profit, investment and time, which is given by;
Profit = investment * time.
==>investment = profit/time.
Profit = investment * time.
==>investment = profit/time.
(1)
Adik said:
7 years ago
Yes, agree @Sandy.J.
The Answer is 5 :7: 8.
The Answer is 5 :7: 8.
(2)
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)
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