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. 
