Question

Diya, Riya, and Tiya were partners sharing profits and losses in the ratio
of 2 : 3: 5. Tiya died on 28th November 2019. Her share of profit was
taken equally by Diya and Riya. Diya’s share of profit in the new firm
will be _________.

Answer 1

Answer:

Diya’s share of profit in the new firm will be 9/20.

Explanation:

Solution :

★ Old Ratio :

Diya : Riya : Tiya = 2 : 3 : 5

• Diya's Share = 2/10
• Riya's Share = 3/10
• Tiya's Share = 5/10

Tiya died on 28th November 2019.

Her share of profit was taken equally by Diya and Riya

Diya’s share of profit in the new firm = ??

Tiya died on 28th November 2019.

Tiya's share of profit was taken equally by Diya and Riya.

• Tiya's Share = 5/10

• Tiya's Share taken by Diya = 5/10 × 1/2 = 5/20

• Tiya's Share taken by Riya = 5/20 × 1/2 = 5/20

★ New Profit Sharing Ratio = Old Share + Share taken from Tiya

• Diya's New Share =

⇒ 2/10 + 5/20 = (4 + 5)/20

⇒ 9/20

• Riya's New Share =

⇒ 3/10 + 5/20 = (6 + 5)/20

⇒ 11/20

New Profit Sharing Ratio =

• Diya : Riya
• 9/20 : 11/20

⇒ 9 : 11

Therefore, Diya’s share of profit in the new firm will be 9/20