Question

Niyati and Aisha were partners in a firm sharing profit and losses in the ratio of 4 : 3. They admitted Bina as a new partner. Niyati sacrificed `1/4`th from her share and Aisha sacrificed `1/7`th from her share in favour of Bina. Bina’s share in the profits of the firm will be ______.

Options

• `2/7`

• `10/49`

• `11/28`

• `7/16`

Answer 1

Niyati and Aisha were partners in a firm sharing profit and losses in the ratio of 4 : 3. They admitted Bina as a new partner. Niyati sacrificed `1/4`th from her share and Aisha sacrificed `1/7`th from her share in favour of Bina. Bina’s share in the profits of the firm will be `bbunderline(11/28)`.

Explanation:

Niyati’s sacrifice = `1/4`

Aisha’s sacrifice = `1/7`

Calculate Bina’s share. 

Bina’s share in the profits is the sum of the sacrifices made by Niyati and Aisha in her favour.

Bina’s share = Niyati’s sacrifice + Aisha’s sacrifice

= `1/4 + 1/7`

= `(1 xx 7)/(4 xx 7) + (1 xx 4)/(7 xx 4)`

= `7/28 + 4/28`

= `(7 + 4)/28`

= `11/28`