Investment Trading Information for $2001$ from a Survey of $156,000$ Investors.

If $35$ percent of the investors traded in both category A and category

$B,$ what percent of the investors traded in neither of these two

categories?

$7\mathrm{.}5\%$

$10\mathrm{.}5\%$

$15\mathrm{.}0\%$

$22\mathrm{.}0\%$

$27\mathrm{.}5\%$