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.

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- Feb 2nd 2009, 01:12 PMdiehardmath4Trade 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.

- Feb 2nd 2009, 02:04 PMSoroban
Hello, diehardmath4!

This is a tricky one . . . We have to baby-talk oiur way through it.

Quote:

The List Price is not given, but the Net Price is $93.03

and the discount rates (multiple discounts) were: $\displaystyle 25\%,\;10\%,\:8\tfrac{1}{3}\%$

Find the List Price and the Discount.

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

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

. . (We paid $93.03)

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

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

Therefore, the List Price is: .$\displaystyle \$150.36$

. . . . . . .. The discount is: . .$\displaystyle \$57.33$

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

Check

. . $\displaystyle \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} $

- Feb 2nd 2009, 02:24 PMdiehardmath4
sorry i made a mistake on one of the percentages it was 8 1/3 percent not 71/2