The current terms of sale are $1/10,$ net $40$ days, $30\%$ of the customers pay in $10$ days and the remaining customers pay in $40$ days. If the firm changes the terms of sale to $1/10,$ net $30$ days and the customers' payment pattern does not change, supposing the firm's annual sales are $$10,000,$ how do the receivables change? $($Use $365$ days per year$)$

Question $21$ options:

Receivables fall by $$195\mathrm{.}67$

Receivables fall by $$211\mathrm{.}13$

Receivables fall by $$191\mathrm{.}78$

Receivables increase by $$191\mathrm{.}78$

Receivables increase by $$211\mathrm{.}13$