Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest cent.

Allan borrowed $\mathrm{\$}6300$ from his father to buy a car. He repaid him after 4 months with interest of $2\mathrm{\%}$ per year. Find the total amount he repaid.

Step 1 ：Calculate the simple interest for 4 months at a rate of 2% per year on a principal amount of $6300

Step 2 ：Principal $P=\mathrm{\$}6300$

Step 3 ：Rate $r=0.02$ per year

Step 4 ：Time $t=\frac{4}{12}$ years

Step 5 ：Interest $I=P\cdot r\cdot t$

Step 6 ：Interest $I=\mathrm{\$}6300\cdot 0.02\cdot \frac{4}{12}$

Step 7 ：Interest $I=\mathrm{\$}42.00$

Step 8 ：Total repayment $=P+I$

Step 9 ：Total repayment $=\mathrm{\$}6300+\mathrm{\$}42.00$

Step 10 ：Total repayment $=\mathrm{\$}6342.00$

Step 11 ：$\boxed{{\displaystyle 6342.00}}$