Question

Land Care partners sharing profits and losses in the ratio of 5:4: 1. Calculate new profit-sharing
crificing ratio and gaining ratio in each of the following cases:
Laet. As per new agreement, C acquires 1/5th share from A.
2. As per new agreement. C acquires 1/5th share equally from A and B.
Cases. As per new agreement, A, B and C will share future profits and losses equally.
4. As per new agreement, Cacquires 1/10th share of A and 1/2 share of B.​

Answer 1

ANSWERS :

Case 1 :

A : B : C : = 5 : 4 : 1 ( old ratio )

C aquires 1 / 5 th form A

A' s sacrifice = 1 / 5

C ' s gain = 1 / 5

A = 5 / 10 - 1 / 5 = 5 - 2 / 10 = 3 / 10

B = 4 / 10

C = 1 / 10 + 1 / 5 = 1 = 2 / 10 = 3 / 10

A :B : C = 3 : 4 : 3

Case 2 :

A : B : C = 5 : 4 : 1 ( old ratio )

C aquires 1/ 5 th share equally form A

A' S sacrifice = 1 / 10

B ' S sacrifice = 1 / 10

C ' S gain = 1 / 5

A = 1 / 10 - 1 / 10 = 5 - 1 / 10 = 4 / 10

B = 4 / 10 - 1 / 10 = 4 - 1 / 10 = 3 / 10

C = 1 / 10 + 1 / 5 = 1 + 2 / 10 = 3 / 10

A : B : C = 4 : 3 : 3

Case 3 :

A : B : C = 5 : 4 : 1 ( old ratio )

A : B : C = 1 : 1 : 1 ( new ratio )

A = 5 / 10 - 1 / 3 = 15 - 10 / 30 = 5 / 30

(sacrifice )

B = 4 / 10 - 1 / 3 = 12 - 10 / 30 = 2 / 30

(sacrifice )

C = 1 / 10 - 1 / 3 = 3 - 10 / 30 = - 7 / 30

(gain)

Case 4 :

A : B : C = 5 : 4 : 1 ( old ratio )

A' s sacrifice to C = 5 / 10 × 1 / 10 = 1 / 20

B' s sacrifice to C = 4 / 10 × 1 / 2 = 4 / 20

C' s gain = 1 / 20 + 4 / 20 = 5 / 20

A = 5 / 10 - 1 / 20 = 10 - 1 / 20 = 9 / 20

B = 4 / 10 - 4 / 20 = 8 - 4 / 20 = 4 / 20

C = 1 / 10 + 5 / 10 = 2 + 5 / 20 = 7 / 20

A : B : C = 9 : 4 : 7

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