Partnership : Aptitude Test

1.

P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is 

   A.) 40000
   B.) 60000
   C.) 50000
   D.) 70000

Answer: Option 'B'

Let the amount invested by Q = q 
40000 : q = 2 : 3 
=> 40000/q = 2/3 
=> q = 40000 × (3/2) = 60000

2.

X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

   A.) Rs.12000/-
   B.) Rs.12500/-
   C.) Rs.26400/-
   D.) Rs.14400/-

Answer: Option 'D'

Ratio of the investment = 21000 : 17500 = 210 : 175 = 42 : 35 = 6 : 5
Share of X in the profit = 26400 × (6/11) = 2400 × 6 = 14400

3.

A and B starts a business investing Rs.85000 and Rs.15000 respectively. Find out the ratio in which the profit s should be shared. 

   A.) 17:4
   B.) 16:3
   C.) 17:3
   D.) 3:11

Answer: Option 'C'

Here A's and B's capitals are there for equal time. Hence
A : B = 85000 : 15000
= 85 : 15
= 17 : 3

4.

A started a business by investing Rs.5000/-. After 4 months B joined by investing Rs.4000/- After 2 months C joined by investing Rs.3000/-. At the end of the year, they got a profit of Rs.5500/-. What is A’s share? 

   A.) Rs.900/-
   B.) Rs.1600/-
   C.) Rs.3600/-
   D.) Rs.3000/-

Answer: Option 'D'

A = Rs.5000/- per 12 months
B = Rs.4000/- per 8 months 
C = Rs.3000/- per 6 months 
= 5000 × 12 : Rs.4000 × 8 : Rs.3000 × 6 
= 30 : 16 : 9 
Total = 55 parts -----> Rs.5500/- (profit)  
        = 1 part ------> Rs.100/- 
Then, A's share is
        = 30 part = Rs.100/- × 30 parts = Rs.3000/-

5.

A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?

   A.) 3
   B.) 4
   C.) 5
   D.) 6

Answer: Option 'B'

Answer: Option 'B' 
Assume that B joins for x months . Then
A : B = 76000 × 12 : 57000 × x = 2:1
=> 76 × 12 : 57x = 2:1
=> 76 × 12/57x = 2/1 = 2
=> x = 76 × 12/57 × 2 = 76 × 4/19 × 2 = 8
Hence B was there in the business for 8 months, or joined after 12-8 = 4 months

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