Partnership Problems and Solutions

• 1. Sumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.

  1. 17:1
  2. 17:2
  3. 17:3
  4. 17:4

  Answer :

  Option C

  Explanation:

  Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.
  
  P:Q = 85000:15000 = 17:3
  
  Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.

• 2. P and Q started a business investing Rs 85000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
  

  1. 17:5
  2. 17:3
  3. 17:6
  4. 17:7

  Answer :

  Option B

  Explanation:

  In this type of question as time frame for both investors is equal then just get the ratio of their investments.
  
  P:Q = 85000:15000
  = 85:15
  = 17:3

• 3. 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 :

  Option D

  Explanation:

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

• 4. A, B and C enter into a partnership investing Rs 35000, Rs 45000 and Rs 55000 resp. The respective share of A,B and C in an annual profit of Rs 40500 are.

  1. Rs. 11500, Rs. 13500, Rs. 16500
  2. Rs. 10500, Rs. 12500, Rs. 16500
  3. Rs. 10500, Rs. 13500, Rs. 15500
  4. Rs. 10500, Rs. 13500, Rs. 16500

  Answer :

  Option D

  Explanation:

  A:B:C = 35000:45000:55000
  = 7:9:11
  
  Now we are having the ratio.
  to get the share, first make total of above ratio.
  then get each share.
  
  \begin{aligned}
  \text{A's Share} = 40500*\frac{7}{27} \\
  = Rs&10500 \\
  
  \text{B's Share} = 40500*\frac{9}{27} \\
  = Rs&13500 \\
  
  \text{B's Share} = 40500*\frac{11}{27} \\
  = Rs&16500 \\
  
  \end{aligned}

• 5. 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 :

  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

• 6. 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 :

  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

• 7. 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 :

  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