Partnership Questions Answers

• 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 And Explanation

  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.

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• 2. 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

  Answer And Explanation

  Answer: Option D

  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 :) ]

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• 3. 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 And Explanation

  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

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• 4. 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 And Explanation

  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

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• 5. 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 And Explanation

  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

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• 6. 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 And Explanation

  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}

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• 7. 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 And Explanation

  Answer: Option D

  Explanation:

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

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