Let's go through the transactions step-by-step to determine the balance of the bank account at the end of February:
1. Initial Balance on 02 January:
- The initial balance in the account is [tex]\( K 2,500 \)[/tex].
2. Transaction on 25 January:
- Debit: [tex]\( K 500 \)[/tex]
- The balance after this debit transaction is calculated as follows:
[tex]\[
\text{Balance after 25 January} = 2500 - 500 = K 2,000
\][/tex]
3. Transaction on 20 February:
- Debit: [tex]\( K 400 \)[/tex]
- Credit: [tex]\( K 1,500 \)[/tex]
- The balance after these transactions is calculated by first subtracting the debit and then adding the credit:
[tex]\[
\text{Balance after 20 February} = 2000 - 400 + 1500 = K 3,100
\][/tex]
4. Transactions after 20 February (for completeness):
- On 02 March: Debit [tex]\( K 200 \)[/tex]
- On 10 April: Debit [tex]\( K 500 \)[/tex]
However, since we are asked for the balance at the end of February, we do not need to consider the March and April transactions.
Therefore, the balance at the end of February is:
[tex]\[
\boxed{K 3,100}
\][/tex]
So, the correct answer is:
C. [tex]\( K 3,100 \)[/tex]