Correct option :
![\color{plum}\tt\bold{(b) \: \$3480 }](https://img.qammunity.org/2022/formulas/mathematics/college/8ni9chvb6rzag217mypnsvxqi68kj4ba84.png)
Steps to derive correct option :
Money Maria borrowed = $3000
Percentage of simple interest per annum = 4%
Time she took to repay the money she borrowed = 4 years
We know that :
![\color{hotpink}\tt \: Simple \: interest = \color{plum}(principal * rate * time)/(100)](https://img.qammunity.org/2022/formulas/computers-and-technology/high-school/nat4cdt3faaextb4px2lh2rqcjppkhf31g.png)
In this case :
Principal = $3000
Rate = 4%
Time = 4 years
Which means. the simple interest :
![= \tt (3000 * 4 * 4)/(100)](https://img.qammunity.org/2022/formulas/mathematics/college/21nq4etbek3byqwhhxdpdy3e8rxtrwb89x.png)
![= \tt (48000)/(100)](https://img.qammunity.org/2022/formulas/mathematics/college/6psep0pj7gy69uufyrz6qgsvwkeeyyencb.png)
![\color{plum} =\tt\$ 480](https://img.qammunity.org/2022/formulas/mathematics/college/2pdi1d53w2mhh84hi7dy8v6l1hs74uk0z7.png)
Thus, the interest she has to pay = $480
We know that :
![\color{hotpink}\tt \: Amount \color{plum}= principal + interest](https://img.qammunity.org/2022/formulas/mathematics/college/loq57q5vqjl22pgee19lka8vy0nvb11a2v.png)
Then, the Amount Maria has to pay :
![=\tt 3000 + 480](https://img.qammunity.org/2022/formulas/mathematics/college/l3cay8l65j3wuu65ycpbjgwj43ao848kjw.png)
![\color{plum} =\tt \$3480](https://img.qammunity.org/2022/formulas/mathematics/college/aoqnncr3od92ubomrjm3kbcf9447irrj86.png)
Thus, the amount Maria has to repay after 4 years = $3480
Therefore, the correct option is (b) $3480