Partnership questions and answers: Quantitative Aptitude

  • 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/-



  • 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.



  • 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 'D'

    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/-



  • 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/-,



  • 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/-



  • 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/-



  • 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



  • 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



  • 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



  • 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'

    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




Quantitative Aptitude Topics

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Students can learn and improve on their Cognitive and Mathematical Fast Calculation skills and prepare for competitive examinations like...


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