Arithmatical - Partnership

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.  3
  B.  4
  C.  5
  D.  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.45,000
  B.  Rs.50,000
  C.  Rs.60,000
  D.  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.7500
  B.  Rs.9000
  C.  Rs.9500
  D.  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.140
  B.  Rs.160
  C.  Rs.180
  D.  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.45
  B.  Rs.50
  C.  Rs.55
  D.  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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