Question

A and B are partners in 3:2 ratio.C is admitted .A gives 1/5 of his share to C and B gave 1/10 of his share to C .find new profit sharing ratio and sucifice ratio

Answer 1

old ratio of A =3/5

scarifie ratio =3/5*1/5

=3/25

new ratio of A = 3/5-3/25

=(3/5*5/5)-3/25

=15/25-3/25

=12/25

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old ratio of B = 2/5

scarifie ratio of B = 2/5*1/10

=2/50 or 1/25

new ratio of B = 2/5-1/25

=(2/5*5/5)-1/25

=10/25-1/25

=9/25

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New ratio of C = scarifie ratio of A+ scarifie ratio of B

=3/25+1/25

=4/25

new ratio of partners = 12:9:4

Sacrifice ratio =3:1

Answer 2

Old Ratio Of A and B = 3:2 or 3/5 , 2/5

A's sacrifice towards C = 1/5 of his share..

so 3/5 × 1/5 = 3/25

A's new share = Old share - sacrificed share

= 3/5 - 3/25

(3/5 ....multiply with 5 ..on denominator and numerator..)

= 15/25 - 3/25

=12/25

B's sacrifice towards C = 1/10 of his share.

so 2/5 × 1/10 = 2/50 = 1/25

B's new share = old share - sacrificed share

= 2/5 - 1/25

(2/5 ... multiply with 5 on denominator and numerator)

= 10/25 - 1/25

=9/25

C's share= A's sacrifice + B's sacrifice

= 3/25 + 1/25

=4/25

So the new profit sharing ratio= 12:9:4

Sacrificing ratio = 3:1 ..(3/25 of A and 1/25 of B)