Question

anika and radhika are partners sharing profits and losses in thr ratio 5:1.they admit sanika for 1/5th share,calculate sacrifice ratio of old partnees​

Answer 1

Question: Anika and Radhika are partners sharing profits and losses in the ratio 5 : 1. They admit Sanika for 1/5th share. Calculate sacrifice ratio of old partners.

Answer: Sacrifice ratio = 5 : 1

Given that, Old ratio of Anika and Radhika = 5 : 1.

Sanika is admitted for 1/5th share.

We know that,

Balance of 1 = 1 - share of new partner

= 1 - 1/5

= 4/5 [remaining share]

New ratio = Old ratio × balance of 1

Anika's new ratio = 5/6 × 4/5

= 20/30

Radhika's new ratio = 1/6 × 4/5

= 4/30

Sanika's new ratio = 1/5 or 6/30 ..[given]

Thus, New ratio of partners = 20/30 : 4/30 : 6/30 or 20 : 4 : 6 or 10 : 2 : 3

Finding out sacrifice ratio,

Sacrifice ratio = Old ratio - new ratio

Anika's Sacrifice Ratio = 5/6 - 20/30

= (25 - 20)/ 30

= 5/30

Radhika's Sacrifice Ratio = 1/6 - 4/30

= (5 - 4)/30

= 1/30

Thus, Sacrifice Ratio = 5/30 : 1/30 or 5 : 1.

Answer 2

Given :-

Anika and radhika are partners sharing profits and losses in thr ratio 5:1.they admit sanika for 1/5th share,

To Find :-

Sacrifice ratio

Solution :-

At first we need to find the remaining share

Remaining share = 1 - Sanika Share

Remaining share = 1 - 1/5

Remaining share = 5 - 1/5

Remaining share = 4/5

Now

Finding the new ratio of Anika and Radhika

Ratio of Anika = 5/6 × 4/5

Ratio of Anika = 5 × 4/6 × 5

Ratio of Anika = 20/30

Ratio of Anika = 2/3

$\rule{100}{3.2}$

Ratio of Radhika = 1/6 × 4/5

Ratio of Radhika = 1 × 4/6 × 5

Ratio of Radhika = 4/30

$\rule{100}{3.2}$

Ratio of Sanika = 1/5

We have to make denominator equal

Ratio of Sanika = 1 × 6/5 × 6

Ratio of Sanika  = 6/30

Now Sacrifice Ratio

For Anika

5/6 - 20/30

25 - 20/30

5/30

For Radhika

1/6 - 4/30

5 - 4/30

1/30

Ratio = 5/30 : 1/30