Question

X and Y are partners sharing profit in the ratio of 3:2. C is admitted . X surrenders 1/6 from his share and y surrendered 1/4th of his share. C's share of profit will be:

Answer 1

Answer: C's share of profit will be 1/5.

Step-by-step Explanation:

Old ratio of X and Y = 3 : 2 or 3/5 : 2/5

X's sacrifice ratio = 1/6 × 3/5 = 3/30 or 1/10

Y's sacrifice ratio = 1/4 × 2/5 = 2/20 or 1/10

Sacrificing ratio of X and Y = 1/10 : 1/10 or 1 : 1

C's share = X's share + Y's share

= 1/10 + 1/10

= 2/10 or 1/5

Thus, C's share of profit will be 1/5th.

Also, finding out the new profit sharing ratio.

X's new share = Old Ratio - Sacrifice Ratio

= 3/5 - 1/10

= 5/10

Y's new share = Old ratio - Sacrifice Ratio

= 2/5 - 1/10

= 3/10

So, new profit sharing ratio = 5/10 : 3/10 : 2/10 or 5 : 3 : 2.

And, C's share of profit will be 1/5.

Answer 2

Given:-

• X and Y are partners sharing profit in the ratio of 3:2.

• X surrenders 1/6 from his share.

• Y surrendered 1/4th of his share.

To Find:-

• C's share of profit as C is admitted.

Solution:-

• X's old ratio will be $\dfrac{3}{5}$

• Y's old ratio will be $\dfrac{2}{5}$

X's Sacrificing Share = $\dfrac{3}{5}×\dfrac{1}{6}=\dfrac{3}{30}$

Y's Sacrificing Share = $\dfrac{2}{5}×\dfrac{1}{4}=\dfrac{2}{20}$

Ratio of C's share of profit $=\dfrac{3}{30}+\dfrac{2}{20}$

$=\dfrac{1}{10}+\dfrac{1}{10}$

$=\dfrac{2}{10}$

$=\dfrac{1}{5}$

Hence, The C's share of profit will be ${\bold{\dfrac{1}{5}.}}$

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