Anshu and Nitu are partners, sharing profits in the ratio of 3 : 2. They admitted Jyoti as a new partner for 3/10 share which she acquired 2/10 from Anshu and 1/10 from Nitu. Calculate the new profit sharing ratio of Anshu, Nitu and Jyoti.

The correct option is 4 : 3 : 3.

Here is the step-by-step explanation to calculate the new profit-sharing ratio:

Step 1: Note the old profit-sharing ratio and Jyoti's share.
The old profit-sharing ratio of Anshu and Nitu is 3 : 2.
This means Anshu's old share = $\frac{3}{5}$
And Nitu's old share = $\frac{2}{5}$
Jyoti is admitted for a $\frac{3}{10}$ share in the profits.

Step 2: Determine the sacrifice made by the old partners.
Jyoti acquires her share from the existing partners as follows:
Share acquired from Anshu = $\frac{2}{10}$
Share acquired from Nitu = $\frac{1}{10}$

Step 3: Calculate the new shares of Anshu and Nitu.
The new share of an existing partner is calculated by subtracting their sacrificed share from their old share:
$\text{New Share}=\text{Old Share}-\text{Share Sacrificed}$

For Anshu:
$\text{Anshu's New Share}=\frac{3}{5}-\frac{2}{10}$
To subtract, make the denominators equal:
$\frac{3}{5}=\frac{6}{10}$
So, $\text{Anshu's New Share}=\frac{6}{10}-\frac{2}{10}=\frac{4}{10}$

For Nitu:
$\text{Nitu's New Share}=\frac{2}{5}-\frac{1}{10}$
Making the denominators equal:
$\frac{2}{5}=\frac{4}{10}$
So, $\text{Nitu's New Share}=\frac{4}{10}-\frac{1}{10}=\frac{3}{10}$

Step 4: Find the new profit-sharing ratio.
Jyoti's share is already given as $\frac{3}{10}$ (which is also equal to $\frac{2}{10}+\frac{1}{10}$).
Comparing the new shares of Anshu, Nitu, and Jyoti:
Anshu : Nitu : Jyoti = $\frac{4}{10}:\frac{3}{10}:\frac{3}{10}$
Since the denominators are all the same, the ratio is 4 : 3 : 3.