Question

Dinesh and Mahesh are partners sharing profits and losses in the ratio of 3:2. They admit Ramesh into business and the new ratio was agreed to be 5:4:3. Calculate the sacrifice ratio.​

Answer 1

Answer: Sacrifice Ratio is 11 : 4.

Step-by-step explanation:

Given that,

Old ratio of Dinesh and Mahesh is 3 : 2

Ramesh is admitted and New ratio is agreed as 5 : 4 : 3

We know that,

Sacrifice Ratio = Old Ratio - New ratio

So,

Dinesh's sacrifice = 3/5 - 5/12

= (36 - 25)/60

= 11/60

Mahesh's sacrifice = 2/5 - 4/12

= (24 - 20)/60

= 4/60

Thus, sacrificing ratio of Dinesh and Mahesh = 11/60 : 4/60 or 11 : 4.

Sacrifice ratio : When a new partner is admitted, existing partners need to sacrifice their old share of profit, for giving the share of their profit to the new partner. This ratio in which the share of profit is sacrificed by old partners, is called as Sacrifice Ratio.

Formula: Sacrifice ratio = Old Ratio - New Ratio

Answer 2

Given :-

Dinesh and Mahesh are partners sharing profits and losses in the ratio of 3:2. They admit Ramesh into business and the new ratio was agreed to be 5:4:3.

To Find :-

Sacrifice ratio.​

Solution :-

Total part in old ratio = 3 + 2 = 5

Part for Dinesh = 3/5

Part for Mahesh = 2/5

Total part in new ratio = 5 + 4 + 3 = 12

Part for Dinesh = 5/12

Part for Mahesh = 4/12

Part for Ramesh = 3/12

Now, Finding Sacrifice Ration

For Dinesh

Sacrifice ratio = Part in old ratio - Part in new ratio

⇒ 3/5 - 5/12

⇒ 36 - 25/60

⇒ 11/60

For Mahesh

Sacrifice ratio = Part in old ratio - Part in new ratio

⇒ 2/5 - 4/12

⇒ 24 - 20/60

⇒ 4/60

Ratio = 11 : 4