# Math Help - Trade Discount help

The List price is Not Given but the Net Price is $93.03 and the discount rate ( multiple discounts ) 25% 10 % and 8 1/3 % . I am having trouble with on calculating the discount amount and the List price. 2. Hello, diehardmath4! This is a tricky one . . . We have to baby-talk oiur way through it. The List Price is not given, but the Net Price is$93.03
and the discount rates (multiple discounts) were: $25\%,\;10\%,\:8\tfrac{1}{3}\%$

Find the List Price and the Discount.

We were given discounts of: . $\frac{1}{4},\;\frac{1}{10},\,\text{ and }\frac{1}{12}$

This means we paid: . $\frac{3}{4},\:\frac{9}{10},\,\text{ and }\frac{11}{12}$ of the List Price.
. . (We paid \$93.03)

So we have: . $\frac{3}{4}\cdot\frac{9}{10}\cdot\frac{11}{12}\cdo t L \;=\;93.03 \quad\Rightarrow\quad \frac{297}{480}L \:=\:93.03$

Hence: . $L \;=\;\frac{480}{297}(93.03) \;=\;150.351552$

Therefore, the List Price is: . $\150.36$
. . . . . . .. The discount is: . . $\57.33$

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Check

. . $\begin{array}{ccc}
\150.36 & \text{List price} \\
-37.59 & \text{25\% off} \\
---- \\

112.77 & \text{net price} \\
-11.28 & \text{10\% off} \\
---- \\
101.49 & \text{net price} \\
-8.46 & 8\tfrac{1}{3}\%\text{ off} \\
---- \\
\93.03 & \text{Net Price} \end{array}$

3. sorry i made a mistake on one of the percentages it was 8 1/3 percent not 71/2