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?
5 : 7 : 8
20 : 49 : 64
38 : 28 : 21
None of these
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.
(82)

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.
(15)

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.
(5)

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?
(3)

Adik said:   7 years ago
Yes, agree @Sandy.J.

The Answer is 5 :7: 8.
(2)

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.
(1)

Ganesh said:   6 years ago
Thanks, @Monika Singh for the explanation.
(1)

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.
(1)

Annamalai said:   5 years ago
Investment*time period= profit.
(1)

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.
(1)


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