Question

A and B are partners in the ratio of 3:2. C is admitted as a partner

and he takes ¼th of his share from A. B gives 3/16 from his share

to C. What is the share of C?​

Answer 1

Answer:

I hope it's helpful to you

Answer 2

Concept:

The new ratio of the old partners is determined by deducting the proportion provided to the new partner from the shares of the old partners when a new partner buys, receives, acquires, or takes his share from old partners in a specific ratio.

It is anticipated that the old partners will split the remaining share in accordance with their previous profit ratio when the new partner's share is specified but nothing is said regarding the share, sacrifice, or relinquished by the old partners.

Sacrificing Ratio = New Ratio - Old ratio

Given:

A:B = 3:2

C is newly admitted

C takes 1/4th of his share from A
B gives 3/16 from his share

Find:

C's share

Solution:

C gets ¼th of his share from A, this means he acquires 3/4th of his share from B. (3/4th i.e. 1-1/4th)

So, 3/4th share from C is 3/16 i.e.,

3/4 C = 3/16

C = 3/16 x 4/3 = 1/4

C's share = 1/4

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