Partnership Questions Answers

  • 8. A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?

    1. 4
    2. 5
    3. 6
    4. 7
    Answer And Explanation

    Answer: Option B

    Explanation:

    Suppose B joined after x months
    then,
    21000*12=36000*(12-x)
    => 36x = 180
    => x = 5

  • 9. A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?

    1. Rs 690
    2. Rs 790
    3. Rs 890
    4. Rs 990
    Answer And Explanation

    Answer: Option C

    Explanation:

    A:B:C = (8000*6):(4000*8):(8000*8)
    = 48:32:64
    = 3:2:4

    So B share = (2/9)*4005 = Rs 890

  • 10. Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share initially ?

    1. Rs 2300
    2. Rs 2400
    3. Rs 2500
    4. None of above
    Answer And Explanation

    Answer: Option A

    Explanation:

    Nirmal:Kapil = 9000*12:(12000*6+6000*6) = 1:1

    Kapils share = Rs. [4600 *(1/2)) = Rs. 2300

  • 11. Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh

    1. Rs. 2000
    2. Rs. 3000
    3. Rs. 4000
    4. Rs. 5000
    Answer And Explanation

    Answer: Option D

    Explanation:

    Suppose Ramesh invested Rs. x. Then,
    Manoj : Ramesh = 20000 * 6 : x * 12.
    120000/12x : 6000/3000
    => x = 120000/24 = 5000

  • 12. Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?

    1. Rs 7000
    2. Rs 6000
    3. Rs 5000
    4. Rs 4000
    Answer And Explanation

    Answer: Option D

    Explanation:

    Just take care of the months of investment, rest all will be simple.

    Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3
    = 2:2:1
    Atul's share = Rs. 20000 * (1/5) = Rs. 4000

  • 13. In 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.

    1. Rs 48000
    2. Rs 47000
    3. Rs 47400
    4. Rs 48400
    Answer And Explanation

    Answer: Option D

    Explanation:

    A:B = 3:2 = 6:4
    => A:C = 2:1 = 6:3

    => A:B:C = 6:4:3

    B share = (4/13)*157300
    = 48400

  • 14. Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.

    1. 8 months
    2. 10 months
    3. 11 months
    4. 17 months
    Answer And Explanation

    Answer: Option B

    Explanation:

    Let the total profit be Rs. Z

    Bharti's share = (2/3)Z
    Rahul's Share = Z-(2/3)Z = Z/3

    Rahul:Bharti = Z/3:(2/3)Z = 1:2

    Now let the total capital be Rs X, and Bharti capital was used for Y months
    then, Rahul capital will be (1/4)X and Bharti capital wil be X-(1/4)X = 3X/4
    \begin{aligned}
    \frac{\frac{1}{4}X*15}{\frac{3}{4}X*Y}= \frac{1}{2} \\
    Y = \frac{15*2}{3} = 10
    \end{aligned}

    So Bharti's money was used for 10 months