RRB NTPC - Partnership : Aptitude Test

1.

X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year? 

   A.) 1:2
   B.) 2:1
   C.) 1:3
   D.) 3:1

Answer: Option 'B'

Ratio in which they should share the profit 
= Ratio of the investments multiplied by the time period
= 45000 × 12: 30000 × 9 
= 45 × 12: 30 × 9
= 3 × 12: 2 × 9
= 2:1

2.

A,B and C started a business in which A invested Rs.20000/- for 2year, B invested Rs.30000/- for 3 years, C invested Rs.40000/- for 4 years. At the end of the profit received by them is Rs.11,600/-. What is B’s share? 

   A.) Rs.3600/-
   B.) Rs.6400/-
   C.) Rs.3200/-
   D.) Rs.3200/-

Answer: Option 'A'

A = Rs.20000/- per 2 year 
B = Rs.30000/- per 3 years 
C = Rs.40000/- per 4 years 
= 20000 × 2 : 30000 × 3 : 40000 × 4 
= 4 : 9 : 16 
Total = 29 parts -----> Rs.11600/- (profit)  
         = 1 part ------> Rs.400/- 
Then, B's share is 
         = 9 part = Rs.400/- × 9 parts = Rs.3600/- 

3.

Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?

   A.) 21:32
   B.) 21:22
   C.) 32:21
   D.) 32:21

Answer: Option 'A'

Here capital is not the same. 
Suresh invest 20000 for initial 6 months and 15000 for the next 6 months. 
Hence his term of ratio 
=( 20000 × 6 + 15000 × 6) 
Kiran invest Rs.30000 for 4 months and Rs.50000 for next 4 months. 
Hence his term of ration 
= (30000 × 4 : 50000 × 4) 
Suresh : Kiran = ( 20000 × 6 + 15000 × 6) : (30000 × 4 : 50000 × 4) 
= (20 × 6 + 15 × 6) : (30 × 4 + 50 × 4) 
= (20 × 3 + 15 × 3) : (30 × 2 : 50 × 2) 
= 105:160 
= 21:32

4.

A began a business with Rs,5000/- and was joined afterwards by B with Rs.4000/-. If the profits at the end of the year were divided in the ratio 3:1, How many months B was in the business?

   A.) 4 Months
   B.) 7 Months
   C.) 5 Months
   D.) 6 Months

Answer: Option 'C'

Note : 
1) Share's ratio is always equal to profit ratio
2) When two ratios are equal, then the cross products of the ratios are equal. 
That is, for the proportion, a:b = c:d , a × d = b × c 
A = Rs.5000/- per 12 Months
B = Rs.4000/- per x Months 
4000 × 12 : 5000 × 8 = 3 : 1 
=> 6 : 5 = 3 : 1  
=> 3x = 15 
=> x = 5 Months 
 

5.

Ravi, Naresh and Raju started a business in which Ravi invested Rs. 18,000/-, Naresh  invested Rs. 22,000/ and Raju invested Rs. 30,000/-. At the end of the year profit received by them is Rs. 14,000/-. What is the difference between the profits Ravi and Raju?

   A.) Rs. 2500/-
   B.) Rs. 2400/-
   C.) Rs. 2300/-
   D.) Rs. 2100/-

Answer: Option 'B'

18000 : 22000 : 30000
    9    :  11  :  15
The difference between Ravi and Raju  15 - 9 = 6
total 35  --------> 14000
only  6 ---------> ?
(6/35) × 14,000 = 2400/-

6.

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

7.

A certain amount of profit is divids between Avinash, Bhanu & Charan in the ratio of 2 : 4 : 5 respectively. If Charan got 36,000/ more than Avinash then what is Bhanu's share?

   A.) Rs. 46,000/-
   B.) Rs. 54,000/-
   C.) Rs. 48,000/-
   D.) Rs. 44,000/-

Answer: Option 'C'

2 : 4 : 5
5 - 2 = 3
3 Share's ------> 36,000/-
4 Share's ------> ?
(4/3) × 36,000 = 48,000/-

8.

A,B started a business by investing Rs.4000/- and Rs.5000/-. A is working and B is sleeping partner. A gets 10% of profits for managing, the rest being divided in proportion to their capitals out of a total profit of Rs.9,000/-. The money received by B is:?

   A.) Rs.900/-
   B.) Rs.3600/-
   C.) Rs.5000/-
   D.) Rs.4500/-

Answer: Option 'D'

A = Rs.4000/- 
B = Rs.5000/- 
Then, A : B = 4 : 5 
Total profit = Rs.9000/-
10 % of 9000 = Rs.900/- 
A's Salary = Rs.900/- 
remaining amount = 8100/- 
Total parts = 9 
   9 parts -----> Rs.8100/-  
   1 part ------> Rs.900/-   
 B's share = 5 parts 
 = 5 parts -----> Rs.4500/-

9.

A, B, C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?

   A.) 44
   B.) 47
   C.) 46
   D.) 45

Answer: Option 'C'

A : B: C = 10 × 7 : 12 × 5 : 15 × 3 = 2 × 7 : 12 × 1 : 3 × 3 = 14 : 12 : 9
amount that C should pay = 175 × (9/35) = 5 × 9 = 45

10.

A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?

   A.) 1400
   B.) 1200
   C.) 1500
   D.) 1600

Answer: Option 'C'

Assume that the total profit is x. 
Since 5% goes for charity, 95% of x will be divided between A and B in the ratio 3: 2
=> A's profit = (95x/100) × (3/5) = 855
=> 95x/100 = 855 × 5/3 = 285 × 5 = 1425
=> x = 1425 × 100/95 = 285 × 100/19 = 1500 
Hence the total profit = 1500

11.

In a business, A,B inversed Rs.10,000/-,Rs.20,000/- respectively. After 4 months A adds Rs.5000/- to his initial investment and B withdrew Rs.5000/- from his initial investment. At the end of the year total amount of profit they got is Rs.5400/-. What is A’s share?

   A.) Rs.600/-
   B.) Rs.3000/-
   C.) Rs.4500/-
   D.) Rs.2400/-

Answer: Option 'D'

A's Share = Rs.10000/- per first 4 maonth + Next 8 months Rs.5000/- added 
= 10 × 4 + 15 × 8 = 40 + 120 = 160 
B's Share = Rs.20000/- per first 4 months + Next 8 months Rs.5000/- added 
= 20 × 4 + 15 × 8 = 200   
Then,A's part= 160 : B's part= 200 
==> 4 : 5 
 Total 9 parts -----> Rs.5400/- 
           = 1 part ------> Rs.600/- 
Then, A's share is 
= 25parts = Rs.600/- × 4 parts = Rs.2400/- 

12.

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

13.

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/- 

14.

A started a business by investing Rs.10000/-.After 1 year B joined by investing Rs.15000/- After 6 months C joined by investing Rs.2400/-. At the end two year, they got a profit of Rs.47000/-. What is A’s share? 

   A.) Rs.2000/-
   B.) Rs.1500/-
   C.) Rs.20000/-
   D.) Rs.15000/-

Answer: Option 'C'

A = Rs.10000/- per 24 months
B = Rs.15000/- per 12 months 
C = Rs.24000/- per 6 months 
= 10000 × 24 : 15000 × 12 : 24000 × 6 
= 20 : 15 : 12 
Total = 47 parts -----> Rs.47000/- (profit)  
         = 1 part ------> Rs.1000/- 
Then, A's share is 
         = 20 part = Rs.1000/- × 20 parts = Rs.20000/-

15.

Ganesh starts a business investing Rs. 30000. After a year, Ramesh joins him with a capital of Rs. 40000 and Suresh joins them after another year with Rs. 50000. The profit at the end of three years is Rs. 44000. Find Ramesh's share.

   A.) Rs. 20,000/-
   B.) Rs. 18,000/-
   C.) Rs. 16,000/-
   D.) Rs. 14,000/-

Answer: Option 'C'

Ratio of their investments after 3 years = (3000 × 3) : (40000 × 2) : (50000) = 9 : 8 : 5
Ramesh's share = (8/22) × 44000 = Rs. 16000

16.

X, Y and Z divide an amount of Rs. 11000 among themselves such that Z get half as much as Y and Y gets thrice as much as X. Find the total share of X and Y.

   A.) 5000
   B.) 6000
   C.) 7000
   D.) 8000

Answer: Option 'D'

According to question
y = 3x, z = y/2 = 3x/2
x + y + z = 11000
x + 3x + 3x/2 = 11000
11x/2 = 11000
x = Rs.2000
y = Rs. 6000
x + y = 8000

17.

A , B , C started a partnership business by investing Rs 27000 , 72000 , 81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit? 

   A.) 80000
   B.) 90000
   C.) 70000
   D.) 110000

Answer: Option 'A'

A:B:C = 27000:72000:81000
= 3:8:9
Let the total profit= p
Then p × 9/20 = 36000
=> p = 36000 × 20/9 = 80000

18.

A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?

   A.) 5 months
   B.) 4 months
   C.) 6 months
   D.) 7 months

Answer: Option 'B'

Assume that C was there in the business for x months
A:B:C = 40000 × 12 : 60000 × 10 : 120000 × x 
= 40 × 12 : 60 × 10 : 120x = 40 : 5 × 10 : 10x 
= 8 : 10 : 2x 
= 4 : 5 : x
C's share = 375000 × x/(9+x) = 150000
=> 375x/(9+x) = 150
=> 15x = 6(9+x)
=> 5x = 18 + 2x
=> 3x = 18 
=> x = 18/3 = 6
It means C was there in the business for 6 months. Given that B joined the business 
after 2 months. Hence C joined after 4 months after B joined

19.

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/- 

20.

A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion. 

   A.) 6 : 10 : 5
   B.) 10 : 5 : 4
   C.) 3 : 4: 5
   D.) 9 : 5 : 4

Answer: Option 'A'

Initial investment capital ratio of A and B = 3 : 5
Hence we can assume that initial capital of A and B are 3x and 5x respectively.
Amount that C invest after 6 months = 5x (Since it is equal to B's investment)
Ratio in which profit should be distributed after 1 year = 3x × 12 : 5x × 12 : 5x × 6
=> 3 × 12 : 5 × 12 : 5 × 6 
= 6 : 10 : 5


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