Correct option :
[tex]\color{plum}\tt\bold{(b) \: \$3480 }[/tex]
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 :
[tex]\color{hotpink}\tt \: Simple \: interest = \color{plum}\frac{principal \times rate \times time}{100} [/tex]
In this case :
Principal = $3000
Rate = 4%
Time = 4 years
Which means. the simple interest :
[tex] = \tt \frac{3000 \times 4 \times 4}{100} [/tex]
[tex] = \tt \frac{48000}{100} [/tex]
[tex]\color{plum} =\tt\$ 480[/tex]
Thus, the interest she has to pay = $480
We know that :
[tex]\color{hotpink}\tt \: Amount \color{plum}= principal + interest[/tex]
Then, the Amount Maria has to pay :
[tex] =\tt 3000 + 480[/tex]
[tex]\color{plum} =\tt \$3480[/tex]
Thus, the amount Maria has to repay after 4 years = $3480
Therefore, the correct option is (b) $3480
