A wholesaler sells a TV for $\mathrm{\$}1,100$ less trade discount series of $22\mathrm{\%},11.6\mathrm{\%},7.6\mathrm{\%}$. Round your answers to two decimal places if required.
a) Find the net price. $\mathrm{\$}$
b) Find the amount of discount. $\mathrm{\$}$
c) Determine the single equivalent rate of discount.
\% (round to two decimal places)

Step 1 ：Calculate the net price by applying each trade discount percentage to the original price of the TV: $\mathrm{\$}1100\times (1-0.22)\times (1-0.116)\times (1-0.076)$

Step 2 ：Net price after discounts: $\mathrm{\$}1100\times 0.78\times 0.884\times 0.924=\mathrm{\$}700.83$

Step 3 ：Calculate the amount of discount by subtracting the net price from the original price: $\mathrm{\$}1100-\mathrm{\$}700.83$

Step 4 ：Amount of discount: $\mathrm{\$}1100-\mathrm{\$}700.83=\mathrm{\$}399.17$

Step 5 ：Determine the single equivalent rate of discount by calculating the overall percentage discount: $\frac{\mathrm{\$}399.17}{\mathrm{\$}1100}\times 100\mathrm{\%}$

Step 6 ：Single equivalent rate of discount: $\frac{\mathrm{\$}399.17}{\mathrm{\$}1100}\times 100\mathrm{\%}=36.29\mathrm{\%}$

Step 7 ：The net price is $\boxed{{\displaystyle \mathrm{\$}700.83}}$

Step 8 ：The amount of discount is $\boxed{{\displaystyle \mathrm{\$}399.17}}$

Step 9 ：The single equivalent rate of discount is $\boxed{{\displaystyle 36.29\mathrm{\%}}}$