APTITUDE | ARITHMATICAL | PARTNERSHIP | PROBLEMS BASED ON PARTNERSHIP 3

DIRECTIONS : Problems based on partnership .
11.A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
A.   3B.  4
C.  5D.  6
Solution
Suppose B joined after x months.
Then,21000×12=36000×(12 - x)
‹=›36x=180
= x= 5.
12.X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs.40,000. the amount invested by Y is
A.  Rs. 45,000B.  Rs.50,000
C.  Rs. 60,000D.  Rs. 80,000
Solution
Suppose Y invested Rs.y
Then,40000 /y = 2 / 3
‹=› y=(40000×3 / 2).
‹=› y=60000.
13.A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A.  Rs. 7500B.  Rs. 9000
C.  Rs. 9500D.  Rs. 10,000
Solution
A : B : C=(20000×24):(15000×24):(20000×18)
=4 :3 :3
B's share=Rs.(25000×3/10)
=Rs. 7500.
14.A, B, C hired a car for Rs.520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were
A.  Rs.140B.  Rs.160
C.  Rs.180D.  Rs.220
Solution
A : B : C= 7 : 8 : 11.
Hire charges paid by B= Rs(520×8/26)
= Rs.160.
15.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?
A.  Rs. 45B.  Rs. 50
C.  Rs. 55D.  Rs. 60
Solution
A : B : C=(10×7):(12×5):(15×3)
=70 :60 :45
=14 :12 :9
c's rent=Rs.(175×9/35)
=Rs. 45.

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