Question

S, B and J were partners in a firm. T was admitted as a partner in the partnership firm for 1/5th
profits. Calculate the sacrificing ratio of S, B and J.
​

Answer 1

Answer:

Let profit = 1

T's share = 1-1/5 = (5-1)/5 = 4/5

S's New Share = 1/3×4/5 = 4/15

B's New Share = 1/3×4/5 = 4/15

J's New Share = 1/3×4/5 = 4/15

■Sacrifice ratio = Old ratio-New ratio■

Sac. Ratio of S = 1/3-4/15 = (5-4)/15 = 1/15

Sac. Ratio of B = 1/3-4/15 = (5-4)/15 = 1/15

Sac. Ratio of J = 1/3-4/15 = (5-4)/15 = 1/15

Sacrifice ratio = 1/15:1/15:1/15

= 1:1:1 (ANS)

Explanation:

Answer 2

The sacrificing ratio of S, B and J is 1 : 1 : 1.

Given:

S, B and J were partners in a firm. T was admitted as a partner in the partnership firm for 1/5th profits.

To find:

Calculate the sacrificing ratio of S, B and J.

Solution,

Let profit = 1

T's share = 1-1/5 = (5-1)/5 = 4/5

S's New Share = 1/3×4/5 = 4/15

B's New Share = 1/3×4/5 = 4/15

J's New Share = 1/3×4/5 = 4/15

We know that,

Sacrifice ratio = Old ratio - New ratio

So,

Sacrifice Ratio of S = 1/3-4/15 = (5-4)/15 = 1/15

Sacrifice Ratio of B = 1/3-4/15 = (5-4)/15 = 1/15

Sacrifice Ratio of J = 1/3-4/15 = (5-4)/15 = 1/15

Hence,

Sacrifice ratio = 1/15:1/15:1/15 = 1 : 1 : 1

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