RRB NTPC - Partnership : Aptitude Test

1.

If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive

   A.) 700
   B.) 900
   C.) 600
   D.) 750

Answer: Option 'B'

Let P's capital = p, Q's capital = q and R's capital = r 
Then 
4p = 6q = 10r 
=> 2p = 3q = 5r 
=>q = 2p/3 
r = 2p/5 
P : Q : R = p : 2p/3 : 2p/5 
= 15 : 10 : 6 
R's share = 4650 × (6/31) = 150 × 6 = 900

2.

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

3.

A,B started a business in which A invested Rs.10000/- for 1year, B invested Rs.20000/- for 2 years. At the end of the profit received by them is Rs.5000/-. What is A’s share?

   A.) Rs.4000/-
   B.) Rs.3000/-
   C.) Rs.2000/-
   D.) Rs.1000/-

Answer: Option 'D'

A = Rs.10000/- per 1 year 
B = Rs.20000/- per 2 years 
= 10000 × 1 : 20000 × 2 
= 1 : 4 
Total = 5 parts -----> Rs.5000/- (profit)  
      = 1 part ------> Rs.1000/- 
Then, A's share is 
      = 1 part = Rs.1000/- 

4.

A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

   A.) Rs.9000/-
   B.) Rs.7500/-
   C.) Rs.5000/-
   D.) Rs.6500/-

Answer: Option 'B'

A : B : C = 20000 × 24 : 15000 × 24 : 20000 × 18 = 20 × 4 : 15 × 4 : 20 × 3 
= 4 × 4 : 3 × 4 : 4 × 3
= 4:3:3
B's Share = 25000 × 3/10 = 7500/-

5.

A, B and C start a business with their investments in the ratio 3 : 2 : 1. A leaves after 6 months and B leaves after 9 months. Find the ratio of profits at the end of a year.

   A.) 2 : 2 : 3
   B.) 3 : 3 : 2
   C.) 3 : 2 : 3
   D.) 3 : 4 : 4

Answer: Option 'B'

Ratio of the profits = (3 × 6) : 2 × 9) : (1 × 12)
=> 18 : 18 : 12 = 3 : 3 : 2

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