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Introduction: Partnership Problems
When more than one person agree to invest their money to run a business or firm then this kind of agreement is called partnership. The persons involved in the partnership are called partners.
There are two types of partnership.
 Simple Partnership: In simple partnership, capitals of partners are invested for the same period of time.
 Compound Partnership: In compound partnership, capitals of partners are invested for the different period of time.
Basic Formulas
If two partners A and B are investing their money to run a business then (Simple Partnership)
Capital of A : Capital of B = Profit of A : Profit of B
If two partners A and B are investing their money for different period of time to run a business then
(Compound Partnership)
Capital of A × Time period of A : Capital of B × Time period of B = Profit of A : Profit of B
If n partners are investing for different period of time then
C_{1}T_{1} : C_{2}T_{2} : C_{3}T_{3} : … : C_{n}T_{n} = P_{1} : P_{2} : P_{3} : … : P_{n}
Where C is the capital invested, T is time period of capital invested and P is profit earned.
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Question 1 of 15
1. Question
Sheela started a business in 2009 by investing Rs.50,000. She invested Rs. 20,000 as additional amount in 2010 and her friend Devi joined her with an amount of Rs.70,000. Sheela invested another Rs. 20,000 in 2011 and Anu joined them with Rs. 70,000. At the end of these 3 years, they earned a profit of Rs. 3,00,000. Find Devi’s share?
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Question 2 of 15
2. Question
A and B started a business by investing some amount in the ratio of 4 : 7. C joined them after six months with an amount equal to that of B. What will be their profit ratio for a period of 1 year?
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Question 3 of 15
3. Question
Mr.X starts a business with Rs.7000 and after 10 months, Mr.Y joins with Mr.X by investing certain amount. At the end of 2 years, if 2:3 is the proportion of the profit then Mr.Y’s contribution in the capital is:
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Question 4 of 15
4. Question
A, B and C started a business each investing Rs.20,000. After 4 month A withdraws Rs.6000, B withdraws Rs.8000, C invest Rs.6000 more At the end of the years, a total profit was Rs.65600. Find the share of C.
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Question 5 of 15
5. Question
A, B and C started a business by investing Rs. 125000 Rs. 150000 and Rs.175000 respectively. Find the share of B, out of an annual profit of Rs. 93,600..
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Question 6 of 15
6. Question
A and B started a business by investing Rs. 120000 and Rs.135000 respectively. Find the share of A out of an annual profit of Rs. 35700.
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Question 7 of 15
7. Question
A started a business with Rs. 21000 and is joined afterwords by B with Rs 36000. After how many months did B join if the profits at the end of the year are divided equally?
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Question 8 of 15
8. Question
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
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Question 9 of 15
9. Question
If Rs.3250 be divided among A, B and C in the ratio of 1/2:1/3:1/4 then the share of each are?
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Question 10 of 15
10. Question
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B’s capital was used?
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Question 11 of 15
11. Question
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is :
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Question 12 of 15
12. Question
If 4 (A’s capital) = 6 (B’s capital) = 10 (C’s capital), then out of a profit of Rs. 4650, C will receive ____
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Explanation:
Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .
A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.
Hence, C’s share (4650 * 6/31) = Rs, 900 
Question 13 of 15
13. Question
Roshan started a business by investing Rs.10,000. After 6 months Ahamed joined with him by investing Rs.16,000. At the end of 3 years they gained Rs.49000 then the share of Roshan is:
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Question 14 of 15
14. Question
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
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Question 15 of 15
15. Question
A,B and C started a business by investing Rs.2000/ , Rs.3000/ and Rs.4000/ respectively. Total profit is Rs.4500/. Find the A’s share?
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