X and Y sharing profits in the ratio of 7 : 3, admit Z for $${\frac{3}{7}^{{\text{th}}}}$$ share in the new firm in which he takes $${\frac{2}{7}^{{\text{th}}}}$$ from X and $${\frac{1}{7}^{{\text{th}}}}$$ form Y. The new ratio of X, Y and Z will be

X and Y sharing profits in the ratio of 7 : 3, admit Z for $${\frac{3}{7}^{{\text{th}}}}$$ share in the new firm in which he takes $${\frac{2}{7}^{{\text{th}}}}$$ from X and $${\frac{1}{7}^{{\text{th}}}}$$ form Y. The new ratio of X, Y and Z will be Correct Answer 29 : 11 : 30

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A, B and C are partners in a firm sharing profits in the ratio $$\frac{2}{5}:\,\frac{2}{5}:\,\frac{1}{5}.$$   C retires from the firm and his share is bought by A and B in equal ratio. New profit sharing ratio will be.