Your fabulous uncle Zimmy deposits $$45,000$ cash in a brokerage account and purchases $$55,000$ of stocks on margin by borrowing $$10,000$ from a broker. The required maintenance margin is $40\%.$ Later, the value of the stock holdings falls to $$47,500.$ What is the new account margin in percent? Will there be a margin call?

$94\mathrm{.}74\%,$ No

$78\mathrm{.}95\%,$ No

$81\mathrm{.}95\%,$ No

$68\mathrm{.}18\%,$ No