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?
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
d) Data inadequate
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
d) Data inadequate
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
