Question 11:
Rakesh and Suresh are sharing profits in the ratio of 4 : 3. Zaheer joins and the new ratio among Rakesh, Suresh and Zaheer is 7 : 4 : 3. Find out the sacrificing ratio.
Answer:
|
|
Rakesh |
Suresh |
Zaheer |
|
OLD RATION |
4
: |
3 |
|
|
NEW RATIO |
7
: |
4
: |
3 |
Sacrificing Ratio = Old Ratio − Sacrificing Ratio
|
Rakesh’s |
=4/7-7/14 |
|
|||
|
|
=1/14 |
|
|||
|
Suresh’s |
=3/7-4/14 |
|
|||
|
|
=2/14 |
|
|||
|
|
Rakesh |
|
Suresh |
||
|
Sacrificing sharing ratio = |
1/14 |
: |
2/14 |
||
|
= |
1 |
: |
2 |
||
Question 12:
Karim and Rehman
are partners sharing profits in the ratio of 3 :
2. Naval is admitted as a partner. The new profit-sharing ratio among Karim,
Rehman and Naval is 4 : 3 : 2. Find out the sacrificing ratio.
Answer:
|
|
Karim |
Rehman |
Naval |
|
OLD RATION |
3 : |
2 |
|
|
NEW RATIO |
4
: |
3
: |
2 |
Sacrificing Share = Old Ratio − New Ratio
|
Karim’s |
=3/5-4/9 |
|
|||
|
|
=7/45 |
|
|||
|
Rehman’s |
=2/5-3/9 |
|
|||
|
|
=3/45 |
|
|||
|
|
Karim |
|
Rehman |
||
|
Sacrificing sharing ratio = |
7/45 |
: |
3/45 |
||
|
= |
7 |
: |
3 |
||
Question 13:
A,
B and C
are partners sharing profits in the ratio of 4 :
3 : 2. D is admitted for 1/3rd share in future profits. What is the
sacrificing ratio?
Answer:
|
|
A |
|
B |
|
C |
|
OLD RATIO = |
4 |
: |
3 |
: |
2 |
D is admitted for 1/3share of profit
Let the combined share of profit of A, B C and D be = 1
Combined share of A, B and C after D’s admission = 1 − D’s shares
=1-1/3
=2/3
New Ratio = Old Ratio
combined share of A, B and C
|
A’s |
=4/9×2/3 |
|
|
=8/27 |
|
B’s |
=3/9×2/3 |
|
|
=6/27 |
|
C’s |
=2/9×2/3 |
|
|
=4/27 |
Sacrificing Ratio = Old Ratio − New Ratio
|
A’s |
=4/9-8/27 |
|
|
|
|||||
|
|
=4/27 |
|
|
|
|||||
|
B’s |
=3/9-6/27 |
|
|
|
|||||
|
|
=3/27 |
|
|
|
|||||
|
C’s |
=2/7-4/27 |
|
|
|
|||||
|
|
=2/27 |
|
|
|
|||||
|
|
A |
|
B |
|
C |
||||
|
Sacrificing sharing ratio = |
4/27 |
: |
3/27 |
: |
2/27 |
||||
|
= |
4 |
: |
3 |
: |
2 |
||||
Question 14:
Gautam and Yashica are partners
sharing profits and losses in the ratio of 3 : 2. They
admit Asma into partnership. Gautam gives 1/3rd of his share while Yashica gives 1/10th from his share to Asma. Calculate new profit-sharing ratio and
sacrificing ratio.
Answer:
Old Ratio of Gautam and Yashica
is 3 : 2.
Gautam 's sacrifice=1/3×3/5=3/15
Yashica 's sacrifice=1/10
Sacrificing Ratio=3/15:1/10 or 2 :1
New Ratio = Old Share − Share Sacrificed
Gautam 's new share=3/5-3/15=6/15
Yashica 's new share=2/5-1/10=3/10
Asma's share=3/15+1/10=9 30
New Ratio=6/15 : 3/10 : 9/30 = 4 :3 : 3
Question 15:
A,
B and C are
partners sharing profits in the ratio of 2 : 2 : 1. D is
admitted as a new partner for 1/6th share. C will retain his original
share. Calculate the new profit-sharing ratio and sacrificing ratio.
Answer:
Calculation of New Profit Sharing Ratio
Old Ratio of A, B and C is
2 : 2 : 1
. D is
admitted for 1/6th share while . C will
retain his 1/5 original share
Remaining share=1-1/6-1/5
=30-5-6/30=19/30
Remaining share will be shared by A and B in 2:2 (old).
|
A’s |
=19/30×2/4 |
|
||||||
|
|
=38/120 |
|
||||||
|
B’s |
=19/30×2/4 |
|
||||||
|
|
=38/120 |
|
||||||
|
C’s |
=1/5×24/24 |
|
||||||
|
|
=24/120 |
|
||||||
|
D’s |
=1/6×20/20 |
|
||||||
|
|
=20/120 |
|
||||||
|
A |
|
B |
|
C |
|
D |
|||
|
38 |
: |
38 |
: |
24 |
: |
20 |
|||
|
19 |
: |
19 |
: |
12 |
: |
10 |
|||
*Since nothing is
mentioned about the sacrifice made by the existing partners, it is assumed that
A and B sacrifice in their old ratio.
Calculation
of Sacrificing Ratio
Sacrificing
Ratio =Old ratio- new ratio
|
A’s |
=2/5-19/60 |
|
|
=24-19/60=5/60 |
|
B’s |
=2/5-19/60 |
|
|
=24-19/60=5/60 |
A : B = 5:5=1:1
Ts Grewal Solution 2024-2025
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Class 12 / Volume – I