Aptitude
Partnerships Solved Problem 1
A, B, and C invested Rs 18000, Rs 24000, and Rs.36000 in
business, respectively. What is the ratio of shares of their profits?
a) 3 : 4 :5
b) 2 : 3 :6 c) 3 : 4 : 6
d) 2 : 5 :7 e) 3 : 5
: 8
Answer
: C
Explanation:
The ratio of Profits = Ratio of the amounts invested
= 18000: 24000
: 36000
= 3 : 4
: 6
Aptitude Partnerships Solved Problem 2
A and B enter into a partnership. A invests Rs 16000, and B
invests Rs 20000. If the profit at the end of the year amounts to Rs
27000. What would be the share of B in the profit?
a) Rs 10000
b) Rs 110000 c)Rs 12000
d)Rs 15000 e)Rs 21000
Answer
: D
Explanation:
The ratio
of the investment of A and B is 16000: 20000 = 4: 5
So they have to share the
profit in the ratio of 4: 5
B's share of profit = $\frac{5}{9}$
X 27000 = 15000
Aptitude Partnerships Solved Problem 3
A and B started a business by
investing Rs. 90000, and Rs. 165000 respectively. Find the share of A, out of
an annual profit of Rs.85000
a) Rs 30000 b)Rs 35000
c)Rs 55000 d)Rs
60000 e) Rs 62000
Answer
: A
Explanation:
The ratio of profits = The ratio of investments
The ratio of profits = The ratio of investments
The ratio of their shares in the profit = 90000: 165000
= 6: 11
:. A' s share = Rs. [85000 x $\frac{6}{17}$] = Rs. 30000
Aptitude Partnerships Solved Problem 4
A, B, and C invested Rs 40000, Rs 100000, and Rs 80000
respectively in a business. The net profit for the year was Rs 24200, which was
divided in proportion to their investments. Find the amount of profit that C earned?
a) Rs 8800
b) Rs 2200 c) Rs 5500
d)Rs 6000 e)Rs 7500
Answer
: A
Explanation: Ratio of profits = Ratio of the capitals
= 40000 : 100000 : 80000
= 2 : 5 : 4
Share of C in the annual profit Rs 24200 = 24200 X $\frac{4}{11}$ = Rs 8800
Aptitude Partnerships Solved Problem 5
A, B, and C invested their capitals in the ratio of 2:5:8. At
the end of the year, the difference between the shares of A and C is Rs 3600,
then what is the total profit and what is the share of B?
a) Rs 9000 , Rs 3000 b) Rs 12000, Rs 4500 c) Rs 6000, Rs 2500
d) Rs 8000, Rs 3250 e) None of
these
Answer : A
Explanation :
Ratio
of Profits = 2:5:8
A's profit = 2x
B's profit= 5x and C's profit = 8x
Difference between the share of A and C = (8x-2x) = 6x= Rs 3600
=> x=Rs 600
So , Total Profit = (2x
+5x +8x)=15x= (15 x 600) = Rs 9000
B's share = 5x =(5 X 600) = Rs 3000.
Aptitude Partnerships Solved Problem 6
A profit of Rs 10400 is to be divided among the partners A,B and C. The
ratio of their investments is $\frac{1}{2} :\frac{1}{3} :\frac{1}{4}$ . What is the share of B?
a) Rs 1800
b) Rs 1600 c ) Rs
3200 d) Rs 4000 e) Rs 6500
Answer :C
Explanation:
The ratio of the investments = $\frac{1}{2}$: $\frac{1}{3}$: $\frac{1}{4}$.
=$\frac{6}{12}$ : $\frac{4}{12}$: $\frac{3}{12}$
(Here 12 is the LCM of 2,3 and 4)
(Here 12 is the LCM of 2,3 and 4)
= 6: 4 : 3
Therefore the ratio of profits = 6: 4 : 3
Share of B in total profit Rs 10400 = 10400 x 4/13 = Rs 3200
Aptitude Partnerships
Solved Problem 7
A and B are partners in a
business. A invests Rs 20000 for 8 months, and B invests Rs 30000 for 6 months.
They gain Rs 6800. What is the share of B?
a) Rs 3000
b)Rs 3600 c)Rs 4000
d)Rs 4500 e)Rs 8000
Answer : B
Explanation:
A
and B invested their capital C1 and C2
for the periods T2 and C2,
then the ratio of their profits = C1T1: C2 T2
A invests Rs 20000 for 8 months and B
invests Rs 30000 for 6 months
The ratio of
their profits = (20000 X 8) : (30000 X 6)
=8: 9
Share of B
= $\frac{9}{17}$ x Rs 6800 = Rs 3600
Aptitude Partnerships Solved Problem 8
A, B and C enter into a partnership. A invests Rs 7200 for 4
months, B invests Rs 2400 for the whole year and C invests Rs 3600 for 8
months. The share of B in the profit is Rs 2300. What is the total profit?
a) Rs 6900 b)Rs 6400
c)Rs 4600
d)Rs 13800 e) Rs
7800
Answer
: A
Explanation
:
If the capital C1 invested for the period T1, and the capital C2 is invested
for the period T2 and capital C3 is invested for the
time period T3, then
Therefore, the ratio of profits A : B : C = (7200 X 4) : (2400
X 12) : (3600 X 8)
= 28800 :
28800 : 28800
= 1 : 1 : 1
Share of B= 1x = 2300
Total Profit = (1x +1x +1x) = 3x = (3 x Rs 2300) =Rs 6900
Aptitude Partnerships
Solved Problem 9
A, B, and C rented a pasture. A puts in 6 oxen for 12 months , B
puts in 7 oxen for 8 months, and C puts in 8 oxen for 6 months. If the rent of
the filed is Rs 792, What rent is paid by C?
a) Rs 162
b)Rs 324
c)Rs 216 d)Rs
252 e)Rs 220
Answer : C
Explanation :
A puts 6 oxen for 12months
B puts 7 oxen for 8 months.
C puts 8 oxen for 6 months.
Therefore ratio of rents = (6 X 12) : (7 X 8) : (8 X
6)
= 72 : 56 :48
= 9 : 7 : 6
The rent paid by C = Rs 792 X $\frac{6}{22}$ = Rs 216
Aptitude Partnerships Solved Problem 10
A started a business by investing Rs.
55000. After 3 months, B joined him by investing Rs. 60000. Out of an
annual profit of Rs. 42000, find share A?
a) Rs 15500
b)Rs 17000
c)Rs 23100 d)Rs
18900 e)Rs 20000
Answer : C
Explanation:
Ratio of their capitals = (55000 x 12) : (60000 x 9)
= 11: 9
Share of A = Rs 42000 x $\frac{11}{20}$ = Rs 23100
Aptitude - Partnerships
Solved Problem 11
A and B enter into a
partnership and together starts a business with contributions of Rs 30000 and
Rs 40000, respectively. After 4 months, C also joins them with the contribution
of Rs 90000. After 9 months, B withdraws his contribution. At the end of the
year, the profit is Rs 24000. What is the share of B in the total profit?
a)Rs 5000
b)Rs 6000 c)Rs 7000
d) Rs
8000 e) Rs 8500
Answer : B
Explanation:
If the capital C1 invested for the
period T1, and the capital C2 is invested for the
period T2 and capital C3 is invested for the period T3,
then
The ratio of the profits
= C1T1: C2 T2: C3T3
The ratio of profits = (30000 x 12) : (40000 x 9) : (90000
: 8)
= 36000 : 36000 : 72000
= 1 : 1 : 2
Share of B in the total profit = 24000 x $\frac{1}{4}$ =Rs 6000
Aptitude Partnerships Solved Problem 12
A , B and C started a business each investing Rs. 20000.
After 5 months A withdrew Rs. 5000, B withdrew Rs. 4000 and C invested Rs. 6000
more. At the end of the year, a total profit of Rs. 69900 was recorded. What was the share of B in the profit?
a) Rs 21200 b) Rs 20500
c) Rs 18000
d) Rs 19500 e)Rs 24500
Answer
: A
Explanation:
The ratio of the capitals of A, B, and C.
=( 20000 x 5 + 15000 x 7) : (20000 x 5 + 16000 x 7) :(20000 x 5 +
26000 x 7)
= 205000 : 212000 : 282000 = 205 : 212 : 282
B's share = Rs. 69900 x $\frac{212}{699}$ = Rs. 21200
Aptitude - Partnerships Solved Problem 13
A started a business with Rs. 21000 and is joined afterward by
B with Rs. 36000. After how many months did B join, if the profits at the end
of the year are divided equally?
a) 3 months
b) 4 months c) 5 months
d) 6 months e)7 months
Answer : C
Explanation:
Profit is shared at the end of the year.
So A stays in the
business for 12 months
Let B stays in the business for
x months.
They shared the profits equally,
then P1: P2 = 1 : 1
If the capital C1 is invested for the
period T1 and capital C2 is invested for the period T, then = $\frac{C1}{C2}$ X $\frac{T1}{T2}$
=> $\frac{1}{1}$ = $\frac{21000}{36000}$ X $\frac{12}{x}$
On solving, we get x = 7
B stays in the business for 7 months. Therefore B joined the business after 5 months
=> $\frac{1}{1}$ = $\frac{21000}{36000}$ X $\frac{12}{x}$
On solving, we get x = 7
B stays in the business for 7 months. Therefore B joined the business after 5 months
Aptitude Partnerships
Solved Problem 14
A starts a business with Rs Rs
4,50,000. After 4 months, B joins the business. At the end of the year,
they share the profits in the ratio 9: 4. What is the capital of
B?
a) Rs 200000
b) Rs 250000 c) Rs
300000 d) Rs 400000 e)Rs 420000
Answer: C
Explanation :
They
share the profits at the end of the year.
A starts the business and stays in the business for 12 months.
B joins the business after 4 months, then he stays
in the market for 8 months.
Let the capital of B be x.
$\frac{P1}{P2}$ = $\frac{C1}{C2}$ X $\frac{T1}{T2}$
=> $\frac{9}{
4}$ = $\frac{450000}{X}$ X $\frac{12}{4}$
=> x= Rs 300000
The capital of B is Rs 300000
Aptitude Partnerships Solved Problem 15
A invested an amount of Rs 50,000 in starting a
business. After 6 months, B joined him with an amount of Rs 80,000. At the end
of 3 years, they got a profit of Rs 24,500. What was the share of A?
a) Rs 10,000
b) Rs Rs 10,500 c) Rs 15,000
d) Rs 18,000 e) Rs 19,500
Answer : B
Explanation:
At the end of 3 years, they shared profits.
A started the business. So he was in the business for 36
months.
B joined the business after 6 months. So he was in the
business for 30 months
Then ratio of their capitals = 36 x 50000 : 30 x 80000
= 3 : 4
A's share in the profit of Rs 24,500 = Rs 24,500 x $\frac{3}{7}$ = Rs 10,500
Aptitude Partnerships
Solved Problem 16
A , B, C, and D start a partnership
business. A invests 1/3 of the capital, B puts $\frac{1}{4}$ of capital, C invests 1/5 of
the capital, and D invests the remaining capital. Find the share of D out of a
profit of Rs 18000?
a) Rs 4000
b)Rs 5000 c) Rs 6000
d) Rs 3900 e)Rs 4200
Answer:
D
Explanation:
Total
capital invested by A + B + C = $\frac{1}{3}$ + $\frac{1}{4}$ +$\frac{1}{5}$
= $\frac{47}{60}$
= $\frac{47}{60}$
D's capital = (1 -$\frac{47}{60}$) = $\frac{13}{60}$
The ratio of capitals of A, B , C and D = $\frac{1}{3}$ :
$\frac{1}{4}$
= 20 : 15 : 12 :
13
Therefore , the share of D = Rs 18000 X $\frac{13}{60}$
= Rs 3900
Aptitude Partnerships Solved Problem 17
A, B, and C start a
partnership business by investing Rs 24000, Rs 30000, and Rs 36000, respectively.
A is a working partner, and B and C are sleeping partners. .A gets 15% of the
annual profit for his work. If B gets Rs 17000 and C gets Rs 20400 respectively
from the annual profit as their shares, then what amount does A get from the annual
profit?
a) Rs 21000 b) Rs
23000 c) Rs 22.600
d) Rs 28000 e)Rs 27,500
Answer : C
Explanation:
The ratio of capitals of
A,B and C = Rs 24000 : Rs 30000 : Rs 36000
= 4: 5 : 6
Here A is a working partner and B
and C are sleeping partners.
So B and C get only profits as
their shares and A gets profit and remuneration equal to 15% of the total profit for his work
Profit ratio of B and C
= Rs 17000 : Rs 20400 = 5 :6
A's share of profit =
$\frac{4}{5}$ x 17000 = Rs 13600
85% of profit ( Because A takes 15% of
profit as his share)
= (17000+
20400+13600)
= Rs
41,000
A's remuneration = 15% of total profit = $\frac{15}{85}$ x
51000 = Rs 9000
Total amount A gets =( Remuneration
+ profit)
= (Rs 9000 + Rs 13600 )
= Rs 22,600
For
a better understanding of the solved problems on Partnerships, visit Concept of Partnerships - Important Formulae
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