## Partnership questions and answers: Quantitative Aptitude Test

• 1. 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/-

Answer: Option 'C'

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/-

• 2. 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.

• 3. 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/-

• 4. 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/-

Answer: Option 'D'

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/-,

• 5. 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/-

• 6. A,B and C started a business in which A invested Rs.10000/- for 1year, B invested Rs.20000/- for 2 years, C invested Rs.30000/- for 3 years. At the end of the profit received by them is Rs.5600/-. What is C’s share?
A.) Rs.1600/-
B.) Rs.400/-
C.) Rs.3600/-
D.) Rs.2000/-

Answer: Option 'C'

A = Rs.10000/- per 1 year
B = Rs.20000/- per 2 years
C = Rs.30000/- per 3 years
= 10000 × 1 : 20000 × 2 : 30000 × 3
= 1 : 4 : 9
Total = 14 parts -----> Rs.5600/- (profit)
= 1 part ------> Rs.400/-
Then, C's share is
= 9 part = Rs.400/- × 9 parts = Rs.3600/-

• 7. 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

• 8. 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

• 9. In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
A.) 48600
B.) 48400
C.) 48500
D.) 44800

Answer: Option 'B'

Assume that investment of C = x
Then, investment of A = 2x
Investment of B = 4x/3
A:B:C = 2x : 4x/3 : x = 2 : 4/3 : 1 =6 : 4 : 3
B's share = 157300 × 4/(6+4+3) = 157300 × 4/13
= 12100 × 4 = 48400

• 10. 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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