**Ultimate Book of Accountancy Class 12 Part A Solutions – Retirement**

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### Practical Problems

**Solution 1:**

(a) New share when X retires = 2:1

New share when Y retires = 2:1

New share when Z retires = 1:1

(b) Rohan’s share 5/20 this share is taken by Sandeep and Mukesh equally 5/20 x 1/2 = 5/40 OR 1/8

New share of Sandeep = 7/20 + 1/8 = 19/40

New share of Mukesh = 8/20 + 1/8 = 21/40

New share = 19:21

**Solution 2:**

Share of Mohan = 7/20 this share is taken by Ramesh and Naresh equally

7/20 x 1/2 = 7/40

New share of Ramesh = 5/20 + 7/40 = 17/40

New share of Naresh = 8/20 + 7/40 = 23/40

**Solution 3:**

Shivam’s share = 7/20 this share is taken by Satyam and Sundram in 1:2

7/20 x1/3 = 7/60

7/20 x 2/3 = 14/60

Satyam’s new share = 8/20 + 7/60 = 31/60

Sundram’s new share = 5/20 + 14/60 = 29/60

**Solution 4:**

Great’s share = 6/20 this share is taken by Super and Medium in 1:1

6/20 x 1/2 = 6/40

Super’s share = 7/20 + 6/40 = 20/40

Medium’s share = 7/20 + 6/40 = 20/40

New Share = 1:1

**Solution 5:**

Old Share 3:2:1

Y’s share = 2/6 this share is taken by X and Y in 3:2

2/6 x 3/5 = 6/30

2/6 x 2/5 = 4/30

X’s new share = 3/6 + 6/30 = 21/30

Z’s new share = 1/6 + 4/30 = 9/30

New share = 7:3

**Solution 6:**

Old Share = 5:3:2

New share = 6:4

X’s Gain = 6/10 – 5/10 = 1/10

Z’s Gain = 4/10 – 2/10 = 2/10

Gain = 1:2

**Solution 7:**

Manish’s Gain = 5/8 – 5/10 = 5/40

Naresh’s Gain = 3/8 – 3/10 = 3/40

Gain = 5:3

**Solution 8:**

Jamwal’s Gain = 1/2 – 15/32 = 1/32

Gupta’s loan = – 9/32 = 7/32

Gain = 1:7

**Solution 9:**

Old share = 4:1:3

C’s share = 3/8

Surrender to A = 3/8 x 4/9 = 12/72

Surrender to B = 3/8 x 5/9 = 15/72

A’s new share = 4/8 + 12/72 = 48/72

B’s new share = 1/8 + 15/72 = 24/72

48: 24 i.e. 2:1

**Solution 10:**

Old share = 4:3:2 and new share 5:3

Gain of Verma = 5/8 – 3/9 = 21/72

Gain of Dharma = 3/8 – 2/9 = 11/72

**Solution 11:**

Old Share = 5:3:2

Gain share = 8,000 : 4,000 = 8:4 OR 2:1 (Gain)

**Solution 12:**

Old Share = 4:3:2 and new share = 5:3

A’s Gain = 5/8 – 4/9 = 13/72

C’s Gain = 3/8 – 2/9 = 11/72

A’s Capital A/c Dr. 13,000

C’s Capital A/c Dr. 11,000

To B’s Capital A/c 24,000 (72,000 x 3/9)

**Solution 13:**

Old share = 4:3:2

New Share 4:2 OR 2:1

Azad’s Gain = 2/3 – 4/9 = 2/9

Chandel’s Gain = 1/3 – 2/9 = 1/9

Gain 2:1

Azad’s Capital A/c Dr. 2,000

Chandel’s Capital A/c Dr. 1,000

To Bajaj’s Capital A/c 3,000 (9,000 x 1/3)

**Solution 14:**

Old Share 3:2:1

New Share = 1:1

Mehra’s Gain = 1/2 – 3/6 = Nil

Prera’s Gain = 1/2 – 1/6 = 2/6

Prera’s Capital A/c Dr. 10,000

To Nehra’s Capital A/c 10,000

**Solution 15:**

Old Share = 2:2:1:1

New Share = 1:1:1

Ravi’s Gain = 1/3 – 2/6 = Nil

Naresh = 1/3 – 1/6 = 1/6

Yogesh = 1/3 – 1/6 = 1/6

Naresh’s Capital A/c Dr. 30,000

Yogesh’s Capital A/c Dr. 30,000

To Mukesh’s Capital A/c 60,000 (1,80,000 x 2/6)

**Solution 16:**

Old Share 4:3:1

A retires and his share 4/8 is taken over by B and C in 1:1

4/8 x = 4/16 to B and 4/8 x = 4/16 to C

B’s new share = 3/8 + 4/16 = 10/16

C’s new share = 1/8 + 4/16 = 6/16

Gain 10:6 OR 5:3

B’s Capital A/c Dr. 2,000

C’s Capital A/c Dr. 2,000

To A’s Capital A/c 4,000

**Solution 17:**

Old Share = 1:1:1 and New Share 3:2

P’s Gain = 3/5 – 1/3 = 4/15

Q’s Gain = 2/5 – 1/3 = 1/15

P’s Capital A/c Dr. 9,600

Q’s Capital A/c Dr. 2,400

To R’s Capital A/c 12,000 (36,000 x 1/3)

**Solution 18:**

Old Share = 5:3:2 and new share 2:3

Ramesh = 2/5 – 5/10 = 1/10 sacrifice

Suresh = 3/5 – 2/10 = 4/10 Gain

Suresh’s Capital A/c Dr. 48,000

To Ramesh’s Capital A/c 12,000 (1,20,000 x 1/10)

To Naresh’s Capital A/c 36,000 (1,20,000 x 3/10)

**Solution 19:**

Old Share = 2:1:1 and new share = 4:11

Gain of Tara = 4/15 – 1/5 = 1/15

Ravi = 11/15 – 2/5 = 5/15

Gain 1:5

Tara’s Capital A/c Dr. 6,000

Ravi’s Capital A/c Dr. 30,000

To Chander’s Capital A/c 36,000

**Solution 20:**

Old Share = 1:2:2 and New share 3:2

Gain of T = 3/5 – 2/5 = 1/5

U = 2/5 – 2/5 = Nil

T’s Capital A/c Dr. 12,000

To S’s Capital A/c 12,000

**Solution 21:**

Old share = 1:1:1 and New Share = 3:2

Gain of A = 3/5 – 1/3 = 4/15 and B = 2/5 – 1/3 = 1/15

A’s Capital A/c 3,200

B’s Capital A/c 800

To C’s Capital A/c 4,000

A’s Capital A/c 2,000

B’s Capital A/c 2,000

C’s Capital A/c 2,000

To Goodwill 6,000

**Solution 22:**

Old Share = 5:4:3

B retired and his share 4/12 is taken over by A and C in 1:1 4/12 x 1/2 = 4/24

A’s new share = 5/12 + 4/24 = 14/24

C’s new share = 3/12 + 4/24 = 10/24

New Share = 7:5 and Gain 1:1

**Solution 23:**

Ratio of 3,000 and 2,0000 is 3:2

Alay’s new share = 3/5 x 3/8 = 9/40

Now 4/8 + 9/40 = 29/40

Chandel’s new share = 2/5 x 3/8 = 6/40

now 1/8 + 6/40 = 11/40

New Share = 29:11

Ajay’s Capital A/c Dr. 3,000

Chandel’s Capital A/c Dr. 2,000

To Bajaj’s Capital A/c 5,000

P/L App. A/c Dr. 8,000

To Ajay’s Capital A/c 5,800

To Chandel’s Capital A/c 2,200

**Solution 24:**

Old Share = 3:2:1 and new share = 1:2

Gain = X = 1/3 – 3/6 = 1/6

Sacrifice Y = 2/3 – 2/6 = 2/6 OR 1/3 Gain

Y’s Capital A/c Dr. 10,000

To X’s Capital A/c 5,000

To Y’s Capital A/c 5,000

**Solution 25:**

Old Share = 4:3:2 and new share 5:3

Gain = N = 5/8 – 4/9 = 13/72 and S = 3/8 – 2/9 = 11/72

**Solution 26:**

Old Share 3:2:1 and new share 5:1

Gain of Tanya = 5/6 – 3/6 = 2/6 OR 1/3

Bhawna = 1/6 – 1/6 = Nil

**Solution 27:**

Old Share = 1/2:1/3:1/6 OR 3:2:1 and new share 3:2 and Gain = 3:7

**Solution 28:**

Old Share = 1:1:1 and New Share 1:1 and Gain = 1:1

**Solution 29:**

Old Share = 3:2:1

new Share = 3:1 and Gain 3:1

**Solution 30:**

Old Share 1/2 : 1/3: 1/6 OR 3:2:1

New Share = 3:2 and Gain 3:2

**Solution 31:**

Old Share = 3:2:1

New Share 3:1 and Gain 3:1

Revaluation Account

**Solution 32:**

Old Share 2:2:1

New Share 2:1 and Gain 2:1

**Solution 33:**

Old Share 3:3:2

New Share 3:2 and Gain 3:2

**Solution 34:**

Old Share = 4:3:2

New Share 4:2 OR 2:1 Gain 2:1

**Solution 35:**

Old Share 5:3:2 and New Share 3:2 Gain = 1:2

**Solution 36:**

Old share = 3:2:1

New Share = 3:1 and Gain share 3:1

**Solution 37:**

Old Share = 2:2:1

New share = 5:3 Gain 9:7

**Solution 38:**

Old share = 5:3:2

New share 2:1 Gain 5:4

**Solution 39:**

Old share 1/2 : 1/3: 1/6 OR 3:2:1

New share 2:1 Gain 2:1

**Solution 40:**

Old Share 2:2:1

New Share 2:1 and Gain 2:1

**Solution 41:**

Old Share 3:2:1

New Share 2:1 and Gain 2:1

**Solution 42:**

**Solution 43:**

Old Share 5:3:2

New Share 5:2 Gain 5:2

**Solution 44:**

Old Share 3:2:1

New Share 2:1 Gain 2:1

**Solution 45:**

Old Share 3:2:1

New Share 3:1 Gain 3:1

**Solution 46:**

Old Share 3:2:1

New Share 3:2 and Gain 3:7

**Solution 47:**

Old Share = 5:3:2

New share 3:2 Gain 3:2

**Solution 48:**

Old Share 5:3:2

New Share 3:2 and Gain 1:2

**Solution 49:**

Old Share 1:1:1

New Share 5:3 Gain 7:1

**Solution 50:**

Old Share 3:2:1

New share 3:1 and Gain 3:1

**Solution 51:**

Old share 1/2 : 3/10: 1/5 OR 5:3:2 Gain 5:1

**Solution 52:**

Old Share 3:2:1

New Share 2:1 ……….. only A is Gainer partner and B No sacrifice or gain

**Solution 53:**

Old Share 3:2:1

New share 5:4 and Gain 1:2

**Solution 54:**

Old Share 5:3:2

New Share 3:2 and Gain 1:2

**Solution 55:**

Old Share 1/2: 1/6: 1/3 OR 3:1:2 and Gain 3:1

**Solution 56:**

Old share 3:1:1

New Share 3:1 and Gain 3:1

**Solution 57:**

Old Share 4:2:2 OR 2:1:1

New Share 2:1 and Gain 2:1

**Solution 58:**

Old Share 24:18:12 OR 4:3:2

New share 5:3 and Gain 13:11

**Solution 59:**

Old share 2:2:1

New share 3:1 Gain 7:1

**Solution 60:**

Old share 4:3:2

New share 2:1 Gain 2:1

**Solution 61:**

Old Share 4:3:1

Y’s share taken by X and Z in 4:5

X’s Gain = 3/8 x 4/9 = 12/72 and Z = 1/8 x 5/9 = 15/72

X’s new share = 4/8 + 12/72 = 48/72

Z’s new share = 1/8 + 15/72 = 24/72

New Share of X and Z 2:1

### Brilliant Problems

**Solution 1:**

Old Share 1/2 : 1/3: 1/6 OR 3:2:1

New Share 2:1 and Gain 2:1

**Solution 2:**

Old Share 1/2 : 1/3: 1/6 OR 3:2:1

new Share 3:1 and Gain 3:1

**Solution 3:**

Old Share 3:3:2

New Share 3:2 Gain 3:2

**Solution 4:**

**Solution 5:**

Old Share 76:57:38 OR 4:3:2

New Share 3:2 and Gain 3:2

**Solution 6:**

Old Share = 4:6:4 OR 2:3:2

New Share 3:4 given and Gain only Usha is gainer.

**Solution 7:**

**Solution 8:**