Question 1:
Raj,
Ram and Ramesh are partners sharing
profits and losses in the ratio of 5 : 3 : 2. They
admit Suresh into partnership and give him 1/5th share of profits.
Find the new profit-sharing ratio.
Answer:
|
|
Raj |
Ram |
Ramesh |
|
OLD RATIO |
5 : |
3 : |
2 |
Suresh is admitted for 1/5 share of profit
Let the combined share of profit for all partners after Suresh’s admission be = 1
Combined share of Raj, Ram and Ramesh after Suresh’s admission =1 − Suresh’s share
=1-1/5
=4/5
New Ratio = Old
Ratio × Combined share of Raj, Ram and Ramesh
Raj = 5/10×4/5=20/50
Ram
=3/10×4/5=12/50
Ramesh
=2/10×4/5=8/50
|
|
Raj |
|
Ram |
|
Ramesh |
|
Suresh |
|
New
profit sharing ratio = |
20/50 |
: |
12/50 |
: |
8/50 |
: |
1/5 |
|
= |
20 |
: |
12 |
: |
8 |
: |
10 |
|
= |
10 |
: |
6 |
: |
4 |
: |
5 |
Question 2:
Ravi and Mukesh are sharing profits in the ratio of 7 : 3. They admit Ashok for 3/7th share in the firm which he takes 2/7th from Ravi and 1/7th from Mukesh. Calculate new profit-sharing ratio.
Answer:
|
|
X |
|
Y |
|
New profit sharing ratio= |
20/50 |
: |
12/50 |
Ashok admits for 3/7 share of profit
Ravi sacrifices in favour of Ashok =2/7
Mukesh sacrifices in favour of Ashok =1/7
New Ratio = Old Ratio − Sacrificing Ratio
Ravi = 7/10-2/7=29/70
Mukesh =3/10-1/7=11/70
|
|
X |
|
Y |
|
Z |
|
New profit sharing ratio= |
29/70 |
: |
11/70 |
: |
3/7 |
|
= |
29 |
: |
11 |
: |
3 |
|
= |
29 |
: |
11 |
: |
30 |
Question 3:
A and B are
partners sharing profits and losses in the proportion of 7:5. They agree to admit C,
their manager, into partnership who is to get 1/6th share in the profits. He
acquires this share as 1/24th from A and 1/8th from B.
Calculate new profit-sharing ratio.
Answer:
|
|
A |
B |
|
OLD RATIO |
7 : |
5 : |
C admits for 1/6 share of profit
A sacrifices his share of profit in favour of C =1/24
B sacrifices his share of profit in favour of C =1/8
New Ratio = Old Ratio − Sacrificing Ratio
A’s 7/12-1/24=13/24
B’s 5/12-1/8=7/24
|
|
A |
|
B |
|
C |
|
New profit sharing ratio= |
13/24 |
: |
7/24 |
: |
1/6 |
|
= |
13 |
: |
7 |
: |
1 |
|
= |
13 |
: |
7 |
: |
4 |
Question 4:
A,
B
and C were partners in a firm sharing profits in the ratio of 3 : 2 : 1. They
admitted D as a new partner for 1/8th share in the profits, which he
acquired 1/16th from B and 1/16th from C. Calculate
the new profit-sharing ratio of A, B, C and D.
Answer:
A, B and C shares
profits in the ratio of
3 : 2 : 1.
D’s share = 1/8 (D
acquired 1/16
from B and C each)
A’s share =3/6 (retains original share)
B’s
new share=2/6-1/16=13/48
C’s
new share=1/6-1/16=5/48
New
ratio of ABCD =3/6: 13/48: 5/48: 1/8 or 24:13:5:6
Question 5:
Bharati and Astha were partners sharing profits in the ratio of 3 : 2. They admitted Dinkar as a new partner for 1/5th share in the future profits of the firm which he got equally from Bharati and Astha. Calculate the new profit-sharing ratio of Bharati, Astha and Dinkar.
Answer:
Calulation of New Profit Sharing Ratio
Bharti :Astha=3:2 (Old Ratio)
Dinkar=1/5
Bharti's sacrifice=1/5×1/2=1/10
Astha's sacrifice=1/5×1/2=1/10
Bharti's new share=3/5−1/10=6−1/10=5/10
Astha's new share=2/5−1/10=4−1/10=3/10
Dinkar's new share=1/5×2/2=2/10
Bharti :Astha :Dinkar=5:3:2 (New Ratio)
Ts Grewal Solution 2022-2023
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Class 12 / Volume – I
Chapter 1 – Admission of a Partner
Question No. 1 To 5
Question No. 5 To 10
Question No. 11 To 15
Question No. 16 To 20
Question No. 21 To 25
Question No. 26 To 30
Question No. 31 To 35
Question No. 36 To 40
Question No. 41 To 45
Question No. 46 To 50
Question No. 51 To 55
Question No. 56 To 60
Question No. 61 To 65
Question No. 66 To 70
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Question No. 76 To 80
Question No. 81 To 83
Question No. 84 To 86
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