Analysis:
To find out when Mrs Susheela will celebrate her next wedding anniversary on the same day, we need to consider the given date of the previous wedding anniversary and calculate the number of years until the next anniversary.

Given:
Mrs Susheela celebrated her wedding anniversary on Tuesday, 30th September 1997.

Approach:
1. Find the day of the week for the given date.
2. Calculate the number of years until the next anniversary.
3. Add the number of years to the given date to find the next anniversary date.

Step 1: Finding the Day of the Week
To find the day of the week for the given date, we can use the concept of Zeller's Congruence formula.

Zeller's Congruence formula:
h = (q + 13(m + 1)/5 + K + K/4 + J/4 + 5J) % 7

Where:
- h is the day of the week (0 = Saturday, 1 = Sunday, 2 = Monday, ..., 6 = Friday)
- q is the day of the month
- m is the month (3 = March, 4 = April, ..., 12 = December; January and February are counted as months 13 and 14 of the previous year)
- K is the year of the century (year % 100)
- J is the zero-based century (actually ⌊ year/100 ⌋)

For the given date, we have:
q = 30, m = 8 (September is counted as month 14 of the previous year), K = 97, J = 19

Calculating h using the formula:
h = (30 + 13(14 + 1)/5 + 97 + 97/4 + 19/4 + 5*19) % 7
= (30 + 13(15)/5 + 97 + 24 + 4 + 95) % 7
= (30 + 39 + 97 + 24 + 4 + 95) % 7
= (289) % 7
= 5

Therefore, the day of the week for the given date (30th September 1997) is Friday (h = 5).

Step 2: Calculating the Number of Years
To calculate the number of years until the next anniversary, we need to find the difference between the current year (1997) and the year of the next anniversary.

Since the anniversary is on the same day each year, the number of years between anniversaries is always a multiple of 7 (the number of days in a week).

Step 3: Finding the Next Anniversary Date
To find the next anniversary date, we add the number of years until the next anniversary to the given date.

Adding 6 years (a multiple of 7) to the given date (30th September 1997):
1997 + 6 = 2003

Therefore, Mrs Susheela will celebrate her next wedding anniversary on Tuesday, 30th September 2003.

Conclusion:
Mrs Susheela will celebrate her next wedding anniversary on Tuesday, 30th September 2003.