2. Geeta Handa
PGT Accountancy
• 20 years experience of teaching
accountancy.
• 14 years experience of checking
accountancy papers of CBSE
• Worked as examiner for conducting
practical exam of accountancy.
geet7handa@gmail.com Geeta Handa
3. Question :
P and Q are partners sharing Profits in the ratio 3 : 2.
They admit R into partnership who acquires 1/5th of
his share from P and 4/25th share from Q.
Calculate new profit-sharing ratio and sacrificing ratio.
Geeta Handa
4. Geeta Handa
Method 1 : Let Total Share of R = ϰ
𝟏
𝟓
𝐭𝐡 𝐨𝐟 R’s share acquires from P = ϰ X
𝟏
𝟓
=
1
𝟓
ϰ
Remaining of R’s share acquires from Q = ϰ ─
𝟏
𝟓
ϰ
=
𝟓ϰ−𝟏ϰ
𝟓
=
𝟒
𝟓
ϰ
R’s share acquires from Q =
𝟒
𝟓
ϰ
5. Geeta Handa
R acquires from Q =
𝟒
𝟐𝟓
Share of Profits
If
𝟒
𝟓
ϰ =
𝟒
𝟐𝟓
of Profits
ϰ =
𝟒
𝟐𝟓
x
𝟓
𝟒
=
𝟏
𝟓
of Profits
R’s Share = ϰ =
𝟏
𝟓
of Profits
6. Geeta Handa
Method 2 : Let Total Share of R = 1
𝟏
𝟓
𝐭𝐡 𝐨𝐟 R’s share acquires from P = 1 X
𝟏
𝟓
=
𝟏
𝟓
Remaining of R’s share acquires from Q = 1 ─
𝟏
𝟓
=
𝟓−𝟏
𝟓
R’s share acquires from Q =
𝟒
𝟓
of R’s share
7. Geeta Handa
R acquires from Q =
𝟒
𝟐𝟓
Share of Profits
If
𝟒
𝟓
𝐭𝐡 of R’s share received from Q =
𝟒
𝟐𝟓
of Profits
R’s Share =
𝟒
𝟐𝟓
x
𝟓
𝟒
=
𝟏
𝟓
of Profits
8. Geeta Handa
Calculation of Sacrifice / Gain of each Partner:
Partners P Q R
R’s Share in Profits 𝟏
𝟓
Sacrifice of P = 1/5 of
R’s share
𝟏
𝟓
x
𝟏
𝟓 -----
Sacrifice of Q
( 4/25 share )
𝟒
𝟐𝟓
= 1/25
Sacrifice
= 4/25
Sacrifice
-----
9. Sacrificing Ratio of P : Q
= 1/25 : 4/25
Answer :
Sacrificing Ratio of P : Q
= 1 : 4
Geeta Handa
11. Geeta Handa
Calculation of New Share of P and Q:
Partners P Q R
Old Share 𝟑
𝟓
𝟐
𝟓 ----
New Share of P and Q
= Old Share ─ Sacrifice
𝟑
𝟓
─
𝟏
𝟐𝟓
𝟐
𝟓
─
𝟒
𝟐𝟓
=
𝟏𝟓−𝟏
𝟐𝟓
𝟏𝟎−𝟒
𝟐𝟓
New Share of P and Q = 14/25 = 6/25
12. Geeta Handa
Calculation of New Ratio of Partners:
Partners P Q R
New Share 14/25 6/25 1/5
R’s Share =
P’s sacrifice + Q’s
Sacrifice
𝟏
𝟐𝟓
+
𝟒
𝟐𝟓
=
𝟏+𝟒
𝟐𝟓
New Share = 14/25 = 6/25 = 5/25
13. New Ratio of P : Q : R
= 14/25 : 6/25 : 5/25
Answer :
= 14 : 6 : 5
Geeta Handa
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