Top 100 Aptitude Questions and Answers for Competitive Exams

Partnership Problems with Solutions 

Q.81. A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and Rs. 1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.

Solution:

Ratio of shares of A,B and C = Ratio of their investments

                                                  = 120000 : 135000  :  150000 = 8 : 9 : 10.

∴A′sshare=Rs Rs.16800

B′sshare=Rs.=Rs.18900

C′sshare=Rs.(=Rs.21000

Q.82. Alfred started a business investing Rs. 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the share of each.

Solution: 

Clearly, Alfred invested his capita for 12 months, Peter for 9 months and Ronald for 3 months.

So ratio of their capitals = (45000×12) : (60000×9) : (90000×3)

                                            = 540000 : 540000 : 270000 = 2 : 2 : 1

∴Alfred′sshare=Rs.=Rs.6600

Peter′sshare=Rs.=Rs.6600;

Ronald′sshare=Rs.=Rs.3300;

Q.83. A, B and C start a business each investing Rs. 20,000. After 5 months A withdrew Rs.5000, B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each. 

Solution: 

Ratio of the capitals of A, B and C

= 20000×5+15000×7 : 20000×5+16000×7: 20000×5+26000×7

= 205000 : 212000 : 282000 = 205 : 212 : 282.

∴A′sshare=Rs.=Rs.20500;

B′sshare=Rs. =Rs.21200;

C′sshare=Rs. =Rs.28200;

Q.84. A,B,C enter into a partnership investing Rs. 35,000 Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A,B,C in annual profit of Rs. 40,500 are :

Solution:

A : B : C = 35000 : 45000 : 55000 = 7 : 9 : 11

∴A′sshare=Rs. =Rs.10,500;∴

B′sshare=Rs. =Rs.13,500;

C′sshare=Rs.=Rs.16,500;

Q.85. Reena and Shaloo are partners in a business. Reena invests Rs. 35,000 for 8 months and Shaloo invests Rs. 42000 for 10 months. Out of a profit of Rs. 31,570, Reena share is :

Solution:

Ratio of their shares = (35000×8) : (42000×10)= 2 : 3.

Reena′sshare=Rs. =Rs.12628.

Q.86. P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?

(A) 3 : 4

(B) 3 : 5

(C) 15 : 23

(D)17 : 23

(E) None of these

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Q.87. A, B, C enter into a partnership investing Rs. 35,000 and Rs. 45,000 and Rs. 55,000 respectively. The respectively shares of A, B, C, in an annual profit of Rs. 40,500 are:

(A) Rs. 10,500, Rs. 13,500, Rs. 16,500

(B) Rs. 11,500, Rs. 13,000, Rs. 16,000

(C) Rs. 11,000, Rs. 14,000, Rs. 15,500

(D) Rs. 11,500 Rs. 12,500 Rs. 16,500

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Q.88. Reena and Shaloo are partners in a business. Reena invests Rs. 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months. Out of a profit of Rs. 31,570, Reena’s share is:

(A) Rs. 9471

(B) Rs. 12,628

(C) Rs. 18,040

(D) Rs. 18,942

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Q.89. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

(A) Rs. 9423

(B) Rs. 10,250

(C) Rs. 12,500

(D) Rs. 14,000

(E) None of these

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Q.90. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs.25000 earned at the end of 2 years from the starting of the business?

(A) Rs. 7500

(B) Rs. 9000

(C) Rs. 9500

(D) Rs. 10,000

(E) None of these

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