When $$100^{25}-25$$ is written in decimal notation, then the sum of digits will be

Correct option is B

Given:
Expression = $$100^{25} - 25$$​​
Formula Used:
​$$100^{25} = (10^2)^{25} = 10^{50}$$​​
Solution:
$$10^{50}$$​ is a number starting with 1 followed by exactly 50 zeros. When written out, it has 51 digits.
When 25 is subtracted from $$10^{50}$$​, a borrowing chain occurs across the zeros.
The result is a number consisting of 48 nines, followed by the digits 7 and 5.
Result = 999...99975 (where there are 48 nines).
The sum of the digits = (48 × 9) + 7 + 5
Sum = 432 + 12
Sum = 444
Final Answer
So the correct answer is (b)