Partnership Problems and Solutions

• 8. Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is

  1. Rs 200
  2. Rs 300
  3. Rs 400
  4. Rs 500

  Answer :

  Option C

  Explanation:

  Let C = x.
  Then B = x/2
  and A = x/4
  
  A:B:C = 1:2:4.
  C's share Rs.[(4/7)*700) = 400

• 9. 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 :

  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

• 10. Kamal started a business investing Rs 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?

  1. Rs 2380
  2. Rs 2300
  3. Rs 2280
  4. Rs 2260

  Answer :

  Option A

  Explanation:

  Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.
  So
  Kamal:Sameer = (9000*12):(8000*7)
  = 108:56
  = 27:14
  
  Sameer Ratio in profit will be
  \begin{aligned}
  = \left(6970*\frac{14}{41}\right) \\
  = Rs& 2380
  \end{aligned}

• 11. Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?

  1. 19:49:64
  2. 20:49:64
  3. 20:49:65
  4. 20:50:64

  Answer :

  Option B

  Explanation:

  Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively
  
  Then, 14x : 8y : 7z = 5 : 7 : 8
  
  Now, 14x/8x = 5/7
  => y = (49/20)x
  
  14x/7z = 5/8
  
  => z = (16/5)x
  
  =>x:y:z = x:(49/20)x:(16/5)x
  = 20:49:64

• 12. Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of
  Rs. 13,800. Deepak's share is

  1. Rs 9600
  2. Rs 8500
  3. Rs 8450
  4. Rs 8400

  Answer :

  Option D

  Explanation:

  Ratio of their shares = 22500 : 35000
  =9 : 14
  
  Deepak's share = Rs.(13800×14/23)
  = Rs. 8400

• 13. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C

  1. 3:7:5
  2. 6:10:5
  3. 6:10:7
  4. 6:7:5

  Answer :

  Option B

  Explanation:

  Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
  Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
  
  A:B:C =(3x*12):(5x*12):(5x*6)
  = 36:60:30
  = 6:10:5

• 14. 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
  5. Africa has decided to adopt a structural adjustment ideology which has benefited many nations.
  6. China has urged the World Bank to waive the interest on its loans to Africa.
  7. Africa has committed itself to adopting China’s strategy for economic growth.
  8. The World Bank has committed itself to invest huge sums in Africa’s development.

  Answer :

  Option

  Explanation:

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