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Math Help - precentages

  1. #1
    n7x
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    precentages

    if i sell cd's for $28 each. and i have an option to work for either straight commission of 15% or 8% and a retainer of 150 a week. how many cd's do i need to sell in a week to be better off on a straight commission

    plz show working out
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by n7x View Post
    if i sell cd's for $28 each. and i have an option to work for either straight commission of 15% or 8% and a retainer of 150 a week. how many cd's do i need to sell in a week to be better off on a straight commission

    plz show working out
    Your salary if you work for the 15% commission and selling x CD's is

    S_{15}=.15(28)x=4.2x

    S_{8}=150+.08(28)x=150+2.24x

    We want to know when

    S_{15} \ge S_{8} \iff 4.2x \ge 150+2.24x \iff 1.96x \ge 150 \iff x \ge 76.53

    You will make more money if you sell more than 77 CD's per month.
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  3. #3
    n7x
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    LOL well done. well done. now i need this to look like a year 11 kid did it haha?
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  4. #4
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    Quote Originally Posted by n7x View Post
    if i sell cd's for $28 each. and i have an option to work for either straight commission of 15% or 8% and a retainer of 150 a week. how many cd's do i need to sell in a week to be better off on a straight commission

    plz show working out
    Let x denote the number of sold CD's.

    1. Your income by straight commission: I_1=x \cdot 28 \cdot 15\% = x \cdot 28 \cdot \frac{15}{100}

    2. Your income by retainer and reduced commision: I_2= x \cdot 28 \cdot 8\% + 150 = x \cdot 28 \cdot \frac8{100} + 150

    3. Calculate for which value of x both incomes are equal. I've got: x \geq 77 will yield a higher income I_1


    EDIT: Too fast for me, TES
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