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:

New ratio of A:B:C = 28 : 17 : 35

C's share = 35/80

Explanation:

Given datas:-

• A and B are partners in the ratio of 3:2
• C is admitted as a partner
• he takes ¼th of his share from A. B gives 3/16 from his share to C.

To find:-

• What is the share of C

Solution:-

Old ratio of A & B

A:B = 3:2

• A's share = 3/5
• B's share = 2/5

They admit C into partnership,

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

New profit sharing ratio:-

→A's new share = 3/5 - 1/4 = 7/20

→B's new share = 2/5 - 3/16 = 17/80

→C's new share = 1/4 + 3/16 = 7/16

LCM of 20,80,16 = 80

New profit sharing ratio of A , B & C

A:B:C = 28/80 : 17/80 : 35/80

A:B:C = 28 : 17 : 35

Answer 2

Answer:

1/4 is share of C

Explanation:

let C's total share = x

Acc to ques:

A = 3/5 - 1/4*x ( of c's share)

B= 2/5 - 3/16. (from his share)

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

= 3+4x/16 = x

= 3+4x. =16x

=3 = 16x-4x

3 = 12x

1 = 4x

[ x = 1/4 share of C ]

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