X, Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2 . They admit A into partnership and give him 1/5th share of profits. Find the new profit-sharing ratio.
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Answered by
33
Answer:
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X's old ratio= 5/10✴️
Y's old ratio= 3/10✴️
Z's old ratio= 2/10✴️
A is admitted for 1/5th share in the profits.
Hence, remaining share= 1-[1/5]
= 4/5❇️
New Profit sharing ratio:
X's new share= 5/10 * 4/5
= 2/5❇️
Y's new share= 3/10 * 4/5
= 6/25❇️
Z's new share= 2/10 * 4/5
= 4/25❇️
A's new share= 1/5❇️
New profit ratio= 10:6:4:5❇️
Answered by
7
New Profit ratio is calculated below.
Explanation:
The given ratio of X:Y:Z is 5:3:2.
A is to be provided 1/5th share of Profits
Assuming combined share of profit for all partners after A's admission be =1
Accordingly, combined share of X, Y and Z after A's admission =1-A's share
After A’s admission, share for all three can be calculated as:
Combined share of X, Y, and Z
Calculation of New Ratio
New Ratio = Old Ratio * Combined share of X, Y and Z.
X’s share
Y’s share
Z’s share
Thus, new ratio of X, Y, Z and A is:
This can also be written as:
Thus, the new profit sharing ratio is 10 : 6 : 4 : 5
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