# RRB NTPC - Partnership : Aptitude Test

21.

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/-

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/-

22.

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

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.

23.

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

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

24.

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

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

25.

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/-

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/-

26.

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/-

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/-

27.

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/-

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/-

28.

In a business A invested 1/3rd of total investment in 1/3rd of period of invested, B invested 1/4th of total investment in 1/4th of period of investment and remaining was invested by C in remaining period. Then the ratio’s between their shares is:

A.) 25:9:16
B.) 9:25:16
C.) 16:9:25
D.) 25:16:9

share's ratio = A : B : C = 4 : 3 : 5
=Time ratio == A : B : C = 4 : 3 : 5
=profit ratio = A : B : C = 16 : 9 : 25

29.

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

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

30.

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

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

31.

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

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

32.

A and B started a business by investing Rs.4000/- and Rs.5000/- respectively. Find the A’s share out of a total profit of Rs.1800:

A.) Rs.1000/-
B.) Rs.1800/-
C.) Rs.800/-
D.) Rs.400/-

A = Rs.4000/-
B = Rs.5000/-
A share 4 parts & B share 5 parts
Total 9 parts -----> Rs.1800/-
----> 1 part -------> Rs.200/-
A share = 4 parts -----> Rs.800/-

33.

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

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

34.

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/-

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/-

35.

A,B and C started a business in which A invested Rs.2000/- for 1year, B invested Rs.3000/- for 1 1/2 years, C invested Rs.4000/- for 2 years. At the end of the profit received by them is Rs.14500/-. What is C’s share?

A.) Rs.2000/-
B.) Rs.4500/-
C.) Rs.8000/-
D.) Rs.1600/-

A = Rs.20000/- per 12 months
B = Rs.30000/- per 18 months
C = Rs.40000/- per 24 months
= 20000 × 12 : 30000 × 18 : 40000 * 24
= 4 : 9 : 16
Total = 29 parts -----> Rs.14500/- (profit)
= 1 part ------> Rs.500/-
Then, C's share is
= 16 part = Rs.500/- × 16 parts = Rs.8000/-

36.

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

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

37.

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

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

38.

A, B and C rent a pasture. A grazed his 35 cows for 20days, B grazed his 20 cows for 30 days and C grazed his 30 cows for 15 days. If A paid Rs. 1050 as rent , find the rent paid by them.

A.) Rs. 1650/-
B.) Rs. 2625/-
C.) Rs. 2735/-
D.) Rs. 2135

Let the rent per cow per day be Rs.x
A's rent = 34 × 20x
700x = 1050
x = 1.5
Total rent = 1050 + 600x + 450x = 1050 + 900 + 675 = Rs. 2625/-

39.

A,B and C started a business by investing Rs.1400/- , Rs.4200/- and Rs.7000/- respectively. Total profit is Rs.8100/-. Find the C's share?

A.) Rs.900/-
B.) Rs.1800/-
C.) Rs.2700/-
D.) Rs.4500/-

A = Rs.1400/- , that is 1 parts
B = Rs.4200/- , that is 3 parts
C = Rs.7000/- , that is 5 parts
Total 9 parts -------> profit (8100/-)
1 part --------> Rs.900/-
then C's share
5 parts -----> Rs.4500/-,

40.

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

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