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Math Help - Comprehensive applications ( markdown .. . i think )

  1. #1
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    windsor ont cAN
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    Comprehensive applications ( markdown .. . i think )

    Sonic Boom obtained a stereo system for $2400 less 30% and 15%. The store’s pricing is based on overhead expenses of 40% of cost. The “regular price” of the stereo system is set so that, if it is sold in a “20% off” sale, the store’s operating profit will be 25% of cost.

    a) what is the “regular price”
    b) In a midnight Madness Special, the system was sold at a 1/3 off special price.
    What was the profit or loss at the special price?

    2400(1- 0.30)(1- 0.15) = 1428

    S = S ( reduced ) + D

    S = 1428 + 0.20s + 0.25s

    S – 0.45s = 1428

    55s = 1428

    S = 2596.36


    WRONG

    Correct answer for a
    2945.25
    where did i go wrong ?
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  2. #2
    Member
    Joined
    Mar 2009
    Posts
    133
    Hello,

    Cost price; 2400\cdot 0.7 \cdot 0.85=\$1428
    The overhead expense is 40% of this;
    =.4*1428=\$571.2

    Operating profit is equal to 25% of cost, which is 0.25*1428=\$357
    So if it were to be sold at a "20% off" sale, the sale price would be equal to the cost, plus the inbuilt overhead expense, plus the profit;
    \$1428+\$571.2+\$357=\$2356.2
    So the regular price is \frac{\$2356.2}{0.8}=\$2945.25

    Hope that helps..
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