RRB NTPC - Partnership : Aptitude Test

1.

P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is Q's share?

   A.) 144
   B.) 154
   C.) 164
   D.) None of these

Answer: Option 'A'

The ratio of their initial investment = 1/2 : 1/3 : 1/4
= 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
A:B:C = (6x × 2 + 3x × 10) : 4x × 12 : 3x × 12 
= (12 + 30) : 4 × 12 : 3 × 12
=(4 + 10) : 4 × 4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
B's share = 378 × (8/21) = 18 × 8 = 144

2.

A,B and C started a business by investing Rs.2000/- , Rs.3000/- and Rs.4000/- respectively. Total profit is Rs.4500/-. Find the A’s share?

   A.) Rs.2000/-
   B.) Rs.1500/-
   C.) Rs.1000/-
   D.) Rs.4500/-

Answer: Option ''

A = Rs.2000/- , that is 2 parts 
B = Rs.3000/- , that is 3 parts 
C = Rs.4000/- , that is 4 parts 
Total 9 parts -------> profit (4500/-)
----->1 part -------->Rs.500/- 
then A's share 2 parts ----- > Rs.1000/- 

3.

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

4.

A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

   A.) 5 months
   B.) 8 months
   C.) 7 months
   D.) 6 months

Answer: Option 'B'

Let B joins for x months. Then
A:B = 85000 × 12 : x × 42500 = 3 : 1
=> 850 × 12 : 425x= 3 : 1
=> 850 × 12/ 425x = 3/1 = 3
=> 850 × 4 /425x = 1
=> 2 × 4/x = 1
=> x = 8

5.

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

   A.) Rs. 8400
   B.) Rs.11500/-
   C.) Rs.11000/-
   D.) Rs. 14,700

Answer: Option 'D'

Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
3x = 36000
x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
A's share = Rs. (35000 x 21/50) = Rs. 14,700.

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