Step 1: List every expenditure head in rupees.
Using the net income of Rs. 5,500, found from
\[
5000 \times 1.10 = 5500
\]
and the value of 1 percent of it, which is Rs. 55, each head works out to
Food: $28 \times 55 = 1540$
House rent: $22 \times 55 = 1210$
Entertainment: $12 \times 55 = 660$
Children's education: $25 \times 55 = 1375$
Other expenses: $13 \times 55 = 715$
Step 2: Remove the education line and total the real spending.
With no children, the education line of Rs. 1,375 is never spent. What is genuinely spent is food, rent, entertainment and other expenses:
\[
1540 + 1210 + 660 + 715 = 4125
\]
Step 3: Find total savings in a single subtraction from gross income.
The family's full gross income is Rs. 6,000. Out of this, only Rs. 4,125 is genuinely spent, since there is no education cost. Everything else, the PF that was set aside plus the unspent education share, stays with the family:
\[
6000 - 4125 = 1875
\]
Final Answer:
The maximum the family can save, PF included, is Rs. 1,875.
\[ \boxed{Rs.\ 1875} \]