Partnership Problems and Solutions

• 15. A,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500

  1. 10500, 13500, 19500
  2. 10500, 13500, 18500
  3. 10500, 13500, 17500
  4. 10500, 13500, 16500
  5. Only assumption I is implicit
  6. Only assumption II is implicit
  7. Either I or II is implicit
  8. Neither I nor II is implicit
  9. Both I and II are implicit

  Answer :

  Option E

  Explanation:

  A:B:C = 35000:45000:55000 = 7:9:11
  
  A's share = (7/27) *40500 = Rs 10500
  B's share = (9/27) *40500 = Rs 13500
  C's share = (11/27)*40500 = Rs 16500
  
  [In options we can see that only salary of C is different in all options. So we cn just calculate the C share to solve question quickly :) ]

• 16. A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by

  1. Rs. 3200
  2. Rs. 3400
  3. Rs. 3600
  4. Rs. 3800
  5. Only conclusion I follows
  6. Only conclusion II follows
  7. Either I or II follows
  8. Neither I nor II follows
  9. Both I and II follow

  Answer :

  Option E

  Explanation:

  A:B: C = 16000*3 + 11000*9:12000*3 + 17000*9:21000*6
  = 147:189:126 = 7:9:6
  Difference of B and C’s shares =
  Rs. [26400 * (9/22) — 26400 * (6/22))
  = Rs. 3600

• 17. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital

  1. Rs 9000
  2. Rs 7000
  3. Rs 5000
  4. Rs 4000

  Answer :

  Option A

  Explanation:

  Let B contribution is x.
  \begin{aligned}
  \frac{3500*12}{7x} = \frac{2}{3} \\
  => 14x = 126000
  => x = Rs 9000
  \end{aligned}

• 18. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

  1. Rs 870
  2. Rs 880
  3. Rs 890
  4. Rs 900

  Answer :

  Option C

  Explanation:

  Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)
  = 48 : 32 : 64
  = 3 : 2 : 4
  
  \begin{aligned}
  \text{Kamal's share}= 4005 * \frac{2}{9}\\
  = Rs 890
  \end{aligned}

• 19. 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 :

  Option A

  Explanation:

  Nirmal:Kapil = 9000*12:(12000*6+6000*6) = 1:1
  
  Kapils share = Rs. [4600 *(1/2)) = Rs. 2300