X and Y share profits and losses in the ratio 3:2. Z is admitted for a one-fifth share, which X and Y sacrifice in their old ratio. What is the new profit-sharing ratio X:Y:Z?
12 : 8 : 5
X and Y retain four-fifths in their old 3:2 ratio: X gets \(\frac35\times\frac45=\frac{12}{25}\), Y gets \(\frac25\times\frac45=\frac8{25}\), and Z gets \(\frac15=\frac5{25}\). The new ratio is 12:8:5.
X and Y are partners sharing profits and losses in the ratio of 3 ∶ 2. They admit Z as a new partner with 1/5 share in the profits. Calculate the new profit sharing ratio of the partners.
Ram and Shyam are partners in a firm with capital of ₹ 4,80,000 and ₹ 3,10,000, respectively. They admitted Ganesh as a partner with $\frac{1}{4}$th share of profit. Ganesh brings ₹ 3,00,000 as his capital. Ganesh's share of goodwill will be