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Standard VII

Mathematics

Introduction to Ratio

X and Y are...

Question

$X$ and $Y$ are partners in a firm sharing profits and losses in the ratio of $3 : 2$ . $Z$ is admitted as partner with $1 / 4$ share in profit. $Z$ acquires his share from $X$ and $Y$ in the ratio of $2 : 1$ .
Calculate the new profit sharing ratio.

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Solution

X's old share= 3/5
Y's old share= 2/5

Z is admitted for 1/4th share
Sacrificing ratio is 2:1

Z acquired 2/3 * 1/4 = 2/12 from X
Z acquired 1/3 * 1/4 = 1/12 from Y

Hence,
X's new ratio= 3/5-2/12
= 26/60
Y's new ratio= 2/5-1/12
= 19/60
Z's share= 15/60

New Profit sharing ratio= 26:19:15

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X and Y are partners in a firm sharing profits and losses in the ratio of 3:2. Z is admitted as partner with 1/4 share in profit. Z acquires his share from X and Y in the ratio of 2:1.Calculate the new profit sharing ratio.

X's old share= 3/5Y's old share= 2/5Z is admitted for 1/4th shareSacrificing ratio is 2:1Z acquired 2/3 * 1/4 = 2/12 from XZ acquired 1/3 * 1/4 = 1/12 from YHence, X's new ratio= 3/5-2/12 = 26/60Y's new ratio= 2/5-1/12 = 19/60Z's share= 15/60New Profit sharing ratio= 26:19:15

$X$ and $Y$ are partners in a firm sharing profits and losses in the ratio of $3 : 2$ . $Z$ is admitted as partner with $1 / 4$ share in profit. $Z$ acquires his share from $X$ and $Y$ in the ratio of $2 : 1$ .
Calculate the new profit sharing ratio.

X's old share= 3/5
Y's old share= 2/5

Z is admitted for 1/4th share
Sacrificing ratio is 2:1

Z acquired 2/3 * 1/4 = 2/12 from X
Z acquired 1/3 * 1/4 = 1/12 from Y

Hence,
X's new ratio= 3/5-2/12
= 26/60
Y's new ratio= 2/5-1/12
= 19/60
Z's share= 15/60

New Profit sharing ratio= 26:19:15