## 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
Then, Suppose B joined after x months. 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
Then, Suppose Y invested Rs.y 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 =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. = 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 =Rs.(175×9/35) = Rs.45.
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