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Thread: Trade Discount help

  1. #1
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    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.
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  2. #2
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    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: $\displaystyle 25\%,\;10\%,\:8\tfrac{1}{3}\%$

    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} $

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