Arithmatical  Partnership
DIRECTIONS : Problems based on Partnership.
7. 
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. 

8. 
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. 

9. 
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. 
