A person needs to pay a tax of \(5\%\) over the excess bill of \(\$1000\) purchase. However, if the total bill (i.e. purchase bill + tax) exceeds \(\$1999,\) then he needs to pay a tax of \(10\%\) over the excess purchase of \(\$1000.\) What can be the maximum purchase bill amount which will ensure that the person pays only \(5\%\) tax?
A. \(\$1001\)
B. \(\$1500\)
C. \(\$1543.24\)
D. \(\$1950\)
E. \(\$1951.43\)
Answer: E
Source: e-GMAT