# Problems on Partnership Set - 1

1. 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
e) None of these
2. Aman started a business investing Rs.70,000. Rakhi joined him after six months with an amount of Rs.1,05,000 and Sagar joined them with Rs.1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
a) 7 : 6 : 10
b) 12 : 15 : 16
c) 42 : 45 : 56
d) Cannot be determined
e) None of these
3. 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 : 3
e) None of these
4. 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.10,500
d) Rs.14,000
e) None of these
5. 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?
a) 3: 5 : 2
b) 3 : 5 : 5
c) 6 : 10 : 5
e) None of these
6. 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
a) Rs.5400
b) Rs.7200
c) Rs.8400
d) Rs.9600
e) None of these
7. 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 shares of sameer in the profit?
a) Rs.1883.78
b) Rs.2380
c) Rs.3690
d) Rs.3864
e) None of these
8. Murugan, Prasanna and Arun 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 Prasanna?
a) Rs.890
b) Rs.1335
c) Rs.1602
d) Rs. 1780
e) None of these
9. A, B and C enter into a partnership. They invest Rs.40,000, Rs.80,000 and Rs.1,20,000 respectively. At the end of the first year, B withdraws Rs.40,000 while at the end of the second year, C withdraws Rs.80,000. In what ratio will the profit be shared at the end of 3 years?
a) 2 : 3 : 5
b) 3 : 4 : 7
c) 4 : 5 : 9
e) None of these
10. A starts a 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?
a) Rs.7500
b) Rs.8000
c) Rs.8500
d) Rs.9000
e) None of these
Solutions:
1. B) Ratio of their shares =(35000×8):(42000×10) = 2 : 3
Reena's share = Rs.(31570 ×2/5) = Rs.12628.
2. B) Aman : Rakhi : Sagar = (70000×36) : (105000×30) : 140000×24) = 12 : 15 : 16
3. D) P : Q = 85000 : 15000 = 85 : 15 = 17 : 3
4. C) Simran : Nanda = 50000 × 36 : 80000 × 30 = 3 : 4
Simran’s share = Rs.24500 × 3/7 = Rs.10500
5. C) Let the initial investments of A and B be 3x and 5x.
A : B : C =(3x × 12) : (5x × 12) : (5x × 6) = 36 : 60 : 30 = 6 : 10 : 5
6. C) Ratio of their shares = 22500 : 35000 = 9 : 14
Deepak's share = Rs.(13800×14/23) = Rs. 8400
7. B) Kamal : Sameer =(9000×12):(8000 ×7) = 108 : 56 = 27 : 14
Sameer's share = Rs.(6970 ×14/41) =Rs.2380
8. A) Murugan : Prasanna : Arun =(8000×6):(4000×8):(8000×8) = 48 : 32 : 64 = 3 : 2 : 4
Kamal's share = Rs.4005×2/9) = Rs.890
9. B) A : B: C =(40000×36) : (80000×12+40000×24) : (120000×24+40000×12)
=144 : 192 : 336 = 3 : 4 : 7
10. D) Let B's capital be Rs.x.
Then, (3500×12)/7x = 2/3
=> 14x = 126000 => x = 9000