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Partnership - 03
01.
A, B and C are three partners. They altogether invested Rs. 14000 in business. At the end of the year, A got Rs. 337.50, B Rs. 1125 and C Rs. 637.50 as profit. The difference between the investments of B and A was ?
1
Rs. 2200
2
Rs. 3200
3
Rs. 4200
4
Rs. 5250
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Answer:-
1
Explanation:-
Solution:
Ratio of investments of A, B and C = Ratio of their profits
=
337.50
:
1125
:
63.50
=
9
:
30
:
17
∴
A's investment
=
Rs
.
(
14000
×
9
56
)
=
Rs.
2250
B's investment
=
Rs
.
(
14000
×
30
56
)
=
Rs.
7500
Hence, required difference
=
Rs
.
(
7500
−
2250
)
=
Rs.
5250
=
337.50
:
1125
:
63.50
=
9
:
30
:
17
∴
A's investment
=
Rs
.
(
14000
×
9
56
)
=
Rs.
2250
B's investment
=
Rs
.
(
14000
×
30
56
)
=
Rs.
7500
Hence, required difference
=
Rs
.
(
7500
−
2250
)
=
Rs.
5250
02.
A, B and C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35000, A receives ?
1
Rs. 8400
2
Rs. 11900
3
Rs. 13600
4
Rs. 14700
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Answer:-
1
Explanation:-
Solution:
Let C
=
x
Then, B
=
x
+
5000
and
A
=
x
+
5000
+
4000
=
x
+
9000
So,
⇒
x
+
x
+
5000
+
x
+
9000
=
50000
⇒
3
x
=
36000
⇒
x
=
12000
∴
A
:
B
:
C
=
21000
:
17000
:
12000
=
21
:
17
:
12
∴
A's share
=
Rs
.
(
35000
×
21
50
)
=
Rs.
14700
Let C
=
x
Then, B
=
x
+
5000
and
A
=
x
+
5000
+
4000
=
x
+
9000
So,
⇒
x
+
x
+
5000
+
x
+
9000
=
50000
⇒
3
x
=
36000
⇒
x
=
12000
∴
A
:
B
:
C
=
21000
:
17000
:
12000
=
21
:
17
:
12
∴
A's share
=
Rs
.
(
35000
×
21
50
)
=
Rs.
14700
03.
A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?
1
A = Rs. 1400, B = Rs. 1900, C = Rs. 1780
2
A = Rs. 1600, B = Rs. 1800, C = Rs. 1680
3
A = Rs. 1800, B = Rs. 1500, C = Rs. 1780
4
A = Rs. 1680, B = Rs. 1600, C = Rs. 1800
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Answer:-
1
Explanation:-
Solution:
A : B : C
(5000 × 4 + 2500 × 8) : (4500 × 6 + 3000 × 6) : (7000 × 6)
= 40000 : 45000 : 42000
= 40 : 45 : 42
∴
A's share
=
Rs
.
(
5080
×
40
127
)
=
Rs
.
1600
∴
B's share
=
Rs
.
(
5080
×
45
127
)
=
Rs
.
1800
∴
C's share
=
Rs
.
(
5080
×
42
127
)
=
Rs
.
1680
∴
A's share
=
Rs
.
(
5080
×
40
127
)
=
Rs
.
1600
∴
B's share
=
Rs
.
(
5080
×
45
127
)
=
Rs
.
1800
∴
C's share
=
Rs
.
(
5080
×
42
127
)
=
Rs
.
1680
04.
A, B and C enter into a partnership with capitals in the ratio 5 : 6 : 8. At the end of the business term, they received the profit in the ratio 5 : 3 : 12. Find the ratio of time for which they contributed their capitals ?
1
2 : 1 : 3
2
1 : 2 : 3
3
2 : 3 : 1
4
3 : 2 : 1
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Answer:-
1
Explanation:-
Solution:
Here
p
1
:
p
2
:
p
3
=
5
:
3
:
12
and
x
1
:
x
2
:
x
3
=
5
:
6
:
8
According
to
the
formula
Required
ratio
=
p
1
x
1
:
p
2
x
2
:
p
3
x
3
=
5
5
:
3
6
:
12
8
=
1
:
1
2
:
3
2
=
2
:
1
:
3
A
l
t
e
r
n
a
t
e
:
Profit
=
Time
×
Capital invested
Time
=
Profit
Capital invested
Required ratio of time
=
5
6
:
3
6
:
12
8
=
1
:
1
2
:
3
2
=
2
:
1
:
3
Here
p
1
:
p
2
:
p
3
=
5
:
3
:
12
and
x
1
:
x
2
:
x
3
=
5
:
6
:
8
According
to
the
formula
Required
ratio
=
p
1
x
1
:
p
2
x
2
:
p
3
x
3
=
5
5
:
3
6
:
12
8
=
1
:
1
2
:
3
2
=
2
:
1
:
3
A
l
t
e
r
n
a
t
e
:
Profit
=
Time
×
Capital invested
Time
=
Profit
Capital invested
Required ratio of time
=
5
6
:
3
6
:
12
8
=
1
:
1
2
:
3
2
=
2
:
1
:
3
05.
Subhash starts a business by investing Rs. 25000. 6 months later Aditya joins him by investing Rs. 15000. After another 6 months Aditya invests an additional amount of Rs. 15000. At the end of 3 years they earn a profit of Rs. 247000. What is Aditya's share in the profit ?
1
Rs. 105000
2
Rs. 111500
3
Rs. 123000
4
None of these
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Answer:-
1
Explanation:-
Solution:
Subhas
:
Aditya
=
(
25000
×
36
)
:
(
15000
×
6
+
30000
×
24
)
=
900000
:
810000
=
10
:
9
∴
Aditya's share
⇒
Rs
.
(
247000
×
9
19
)
⇒
Rs
.117000
Subhas
:
Aditya
=
(
25000
×
36
)
:
(
15000
×
6
+
30000
×
24
)
=
900000
:
810000
=
10
:
9
∴
Aditya's share
⇒
Rs
.
(
247000
×
9
19
)
⇒
Rs
.117000
06.
A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
1
10 : 10 : 9
2
20 : 20 :19
3
20 : 19 :18
4
None of these
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Answer:-
1
Explanation:-
Solution:
A : B : C
= (25 lakhs × 1) + 35 lakhs × 2) : (35 lakhs × 2 + 25 lakhs × 1) : (30 lakhs × 3)
= 95 lakhs : 95 lakhs : 90 lakhs
= 19 : 19 : 18
07.
A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 and Rs. 120000 respectively. At the end of the first year, B withdraws Rs. 40000, while at the end of the second year, C withdraws Rs. 80000. In what ratio will the profit be shared at the end of 3 years ?
1
2 : 3 : 5
2
3 : 4 : 7
3
4 : 5 :9
4
None of these
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Answer:-
1
Explanation:-
Solution:
A : B : C
(40000 × 36) :(80000 × 12 + 40000 × 24) : (120000 × 24 + 40000 × 12)
= 144 : 192 : 336
= 3 : 4 : 7
08.
Two partners invest Rs. 125000 and Rs. 85000 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be divided into ratio of their capitals. If one partner gets Rs. 300 more than the other. Find the total profit made in the business ?
1
Rs. 3739.50
2
Rs. 3937.50
3
Rs. 3749.50
4
Rs. 3947.50
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Answer:-
1
Explanation:-
Solution:
1
st
Partner
2
nd
Partner
Capital →
12500
:
8500
25
:
17
8
According to the question,
Note: 60% of profit should be divided equally between them
8 units
=
Rs
.
300
1 unit
=
Rs
.
300
8
42 units
=
Rs
.
300
×
42
8
40
%
of profit
=
Rs
.
300
×
42
8
100
%
profit
=
Rs
.
300
×
42
×
100
8
×
40
=
Rs
.
3937
.50
8 units
=
Rs
.
300
1 unit
=
Rs
.
300
8
42 units
=
Rs
.
300
×
42
8
40
%
of profit
=
Rs
.
300
×
42
8
100
%
profit
=
Rs
.
300
×
42
×
100
8
×
40
=
Rs
.
3937
.50
09.
X and Y enter into a partnership with capitals in the ratio 5 : 6 and at the end of 8 months, X withdraws. If they receive profit in the ratio of 5 : 9. Find how long Y's capital was used.
1
8 months
2
9 months
3
11 months
4
12 months
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Answer:-
1
Explanation:-
Solution:
Let the capitals of Y was used for T months
According to the question,
5
×
8
6
×
T
=
5
9
⇒
T
=
12 months
5
×
8
6
×
T
=
5
9
⇒
T
=
12 months
Hence capital of Y was used for = 12 months
10.
A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Rs. 27000; C's share (in Rs.) is ?
1
Rs. 8625
2
Rs. 9000
3
Rs. 10800
4
Rs. 11250
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Answer:-
1
Explanation:-
Solution:
Let the money invested by A, B and C be Rs. x, Rs. 2x and Rs. 3x respectively
Then, A : B : C
=
(
x
×
12
)
:
(
2
x
×
6
)
:
(
3
x
×
4
)
=
12
x
:
12
x
:
12
x
=
1
:
1
:
1
∴
C's share
=
Rs
.
(
27000
×
1
3
)
=
Rs.
9000
=
(
x
×
12
)
:
(
2
x
×
6
)
:
(
3
x
×
4
)
=
12
x
:
12
x
:
12
x
=
1
:
1
:
1
∴
C's share
=
Rs
.
(
27000
×
1
3
)
=
Rs.
9000
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