Question
Download Solution PDFX and Y sharing profits in the ratio of 7 : 3, admit Z for 3/7 share in the new firm in which he takes 2/7 from X and 1/7 from Y. The new ratio of X, Y and Z will be :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Old Ratio = 7:3
Z's Share = 3/7
X's Sacrifice In Favor Of Z = 2/7
X's Sacrifice Ratio = Old Ratio - New Ratio
2/7 = 7/10 - New Ratio
New Ratio = 7/10 - 2/7
X's New Ratio = 29/70
Y's Sacrifice In Favor Of Z = 1/7
Y's Sacrifice Ratio = Old Ratio - New Ratio
1/7 = 3/10 - New Ratio
New Ratio = 3/10 - 1/7
Y's New Ratio = 11/70
New Ratio = X : Y : Z
New Ratio = 29/70 : 11/70 : 3/7
New Ratio = 29 : 11 : 30
Therefore, if X and Y sharing profits in the ratio of 7 : 3, admit Z for 3/7 share in the new firm in which he takes 2/7 from X and 1/7 from Y. The new ratio of X, Y, and Z will be 29: 11: 30.
Last updated on Jun 12, 2025
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