Partnership Problems with Solutions for SSC and Bank Exams

Partnership Problems with Solutions for Competitive Exams

Q.6. An invested Rs. 76,000 in a business. After few months, B joined him with Rs. 57,000. At the end of the year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?

Solution:

Supposes B joined after x months. Then, B’s money was invested for (12-x) months.

$$ ∴{76000×12\over57000×(12-x)}={2\over1}↔912000=114000(12-x) $$

   $$↔ 114(12-x)=912↔(12-x)=8↔x=4$$

Hence, B joined after 4 months.

Q.7.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 ?

Solution:

P : Q = 85000 : 15000 = 85 : 15 = 17 : 3.

Q.8. 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

Solution:

Ratio of their shares = 22500: 35000 = 9 : 14.

$$  Deepak's \   share = Rs. \left(13800×{14\over23}\right)= Rs.8400.$$

Q.9. 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

   $$ ∴ A's\ share = Rs. \left(40500×{7\over27}\right)= Rs.10,500;$$

   $$  B's \  share = Rs. \left(40500×{9\over27}\right)= Rs. 13,500;$$

   $$  C's \  share = Rs. \left(40500×{11\over27}\right)= Rs.16,500;$$

Q.10. 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.

$$  Reena's \   share = Rs. \left(31570×{2\over5}\right)= Rs.12628.$$

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