Partnership Questions Answers

• 15. 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 And Explanation

  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

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• 16. 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 And Explanation

  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}

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• 17. 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 And Explanation

  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}

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• 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 And Explanation

  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}

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• 19. 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

  Answer And Explanation

  Answer: Option C

  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

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• 20. Check which among following are required to answer this questions :
  
  Three friends started a businesss, let there names are A, B and C. What profit B will get, if,
  
  1. C invested Rs. 8000 for nine months, his profit was 3/2 times that of B's and his investment was four times that of A.
  
  2. A and B invested for one year in the proportion 1 : 2 respectively.
  
  3. The three together got Rs. 1000 as profit at the year end.

  1. Only 1 and 3
  2. Only 1 and 2
  3. All 1, 2 and 3
  4. None of above

  Answer And Explanation

  Answer: Option C

  Explanation:

  We will require all the statements to answer this question,
  
  1 and 2 will give :
  C = Rs. (8000 x 9) for 1 month = Rs. 72000 for 1 month.
  A = Rs. (1/4 * 8000 * 12 ) for 1 month = Rs 24000 for 1 month
  B = Rs 48000 for one month
  
  C:A:B = 72000 : 24000 : 48000 = 3 : 1 : 2
  
  From 3, we will get total Profit = 1000
  
  Now from the ratio and total profit we can get Share of C.
  
  C share will be = 1000 * 2/6 = 333 (1/3)

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