Aptitude - Partnership - Discussion
Discussion Forum : Partnership - General Questions (Q.No. 9)
9.
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Answer: Option
Explanation:
A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9.
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175 x | 9 | ![]() |
= Rs. 45. |
35 |
Discussion:
14 comments Page 1 of 2.
SUKUMAR SATYEN said:
1 decade ago
When investments of all the partners are 'for the same time', the gain or loss or liability is distributed among the partners in the ratio of their investments.
Therefore, A's investment = 7X*10/12.
Therefore, B's investment = 5X*12/12.
Therefore, C's investment = 3X*15/12.
=> A : B : C = (7X*10/12) : (5X*12/12) : (3X*15/12).
=> A : B : C = 70X : 60X : 45X.
=> A : B : C = 70 : 60 : 45.
=> Obligation of C to pay rent = 45*175/(70+60+45) = Rs. 45.
Therefore, A's investment = 7X*10/12.
Therefore, B's investment = 5X*12/12.
Therefore, C's investment = 3X*15/12.
=> A : B : C = (7X*10/12) : (5X*12/12) : (3X*15/12).
=> A : B : C = 70X : 60X : 45X.
=> A : B : C = 70 : 60 : 45.
=> Obligation of C to pay rent = 45*175/(70+60+45) = Rs. 45.
Niranjana said:
9 years ago
Mohan, Mahavir and Bankey hire a house for 2 years and agree to pay Rs. 540 as rent per year. They live together for 5 months after which Bankey quits. After another 8 months, Mahavir also leaves. Find the rent to be paid by Mohan.
Can someone solve this, please?
Can someone solve this, please?
(1)
Raj said:
1 decade ago
Hi its just like this and simple when we want to remove the ratio we should add all the number were eg here 14/35,12/35,9/35 thus our formula says
(ratio of c's rent /total ratio)*total ratio thus
we get rent of c =175*9/35
(ratio of c's rent /total ratio)*total ratio thus
we get rent of c =175*9/35
Abhijeet kale said:
8 years ago
c =9 is part out of ( total part of a,b,c =9+12+14).
Hence c's shares=( 9/35)* total reng of the pasture.
-->> c'shares = (9/35)*175 ==>45 Rs.
Hence c's shares=( 9/35)* total reng of the pasture.
-->> c'shares = (9/35)*175 ==>45 Rs.
(1)
VIVEK said:
1 decade ago
FORMULA:
(Ratio of c's rent/Total-ratio) x Total rent
You can apply for any problem.
(Ratio of c's rent/Total-ratio) x Total rent
You can apply for any problem.
Pavanireddy said:
1 decade ago
@Sangeetha.
35 is common for all ratio. Because add 3 ratios.
i.e., 14+12+9=35.
35 is common for all ratio. Because add 3 ratios.
i.e., 14+12+9=35.
Sangeetha said:
1 decade ago
How you get this value 35 as common for all ratio please explain it ?
Pallavi said:
5 years ago
10*7 + 12*5 + 15*3 = 175.
70 + 60 + 45 = 175.
C share = 45.
70 + 60 + 45 = 175.
C share = 45.
(3)
Avinash said:
1 decade ago
@Sangeetha.
Its the LCM of all the denominators.
Its the LCM of all the denominators.
Aman said:
1 decade ago
How c is rent=175*9/35 ? Please tell me.
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