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Question

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?

The correct answer is

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.

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Important Questions from Partnership Accounts

  1. The ratio by which the existing partners lose in favour of the new partner is known as the __________.
  2. Amount due to outgoing partner is shown in the balance sheet as his
  3. Goodwill of a firm of X and Y is valued at ₹ 30,000. It is appearing in the books at ₹ 12,000. Z is admitted for $\frac{1}{4}$ share. What amount he is supposed to bring for goodwill ?
  4. 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. 

  5. 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

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