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Gary S
Lv 5
Gary S asked in Science & MathematicsMathematics · 1 decade ago

formula for percentage?

It has been years since math class, so can someone tell me the formula for this example.

If you pay $35 with tax and the tax is 7.75%, how much was the item and how much was the tax? What is the formula used? Thank you

8 Answers

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  • 1 decade ago
    Favorite Answer

    (price) + (tax)(price) = total

    Or, (1 + tax)(price) = total

    Since tax is given as a percentage, you write it as a decimal by dividing the percentage by 100.

    In your case, the tax is 7.75%, or as a fraction, 7.75/100 of the price of the item ==> 0.0775 as a decimal.

    (1 + 0.0775)(item price) = 35

    price = (35) / (1.0775) = $32.48

    Hope that helps ;)

  • Ray
    Lv 5
    1 decade ago

    cost = (1 + r ) price

    where r is the tax rate as a decimal and price is what the original price is before the tax and cost is the cost that you must pay.

    35 = ( 1 + 0.0775 ) p and now you must solve for p.

    35 = 1.0775p

    divide boht side by 1.0775 to find the original price.

    p = 32.48

    the amount of tax is 35 - 32.48 = 2.52

  • ?
    Lv 4
    1 decade ago

    this is the formula that I have always used since high school:

    % / 100% = is / of

    7.75% / 100% = n / $35

    you sove for n = (35 x 7.75)/100

    = 2.71

    hope this helps :)

  • 1 decade ago

    Here's what i think

    Tax is 7.75%

    Let "x" represent the original price of the item

    So,

    35 = x + 0.0775x

    35 = x (1+0.0775)

    35 = 1.0775x

    x = 35/1.0775

    x = 32.48

    The original price was $32.48

  • 1 decade ago

    35 X 0.0775 = amount of tax

    subtract that from 35, and you get the answer for item price.

  • Anonymous
    1 decade ago

    7.755 = .0775

    if you put a 1 in front of .0775 (1.0775) you get a total

    35*1.0775 = 37.7125

    your tax was 2.7125

  • 1 decade ago

    Where "x" is the initial price of the item.

    x + x*.075 = 35

    Solve for x

    x*(1 + .075) = 35

    x = 35/(1 + .075)

    Solved for x ==> x = $32.558 Rounded = $32.56

    Initial price of the item is $32.56

    Tax = $35.00 - $32.558 = $2.44

    Answer $2.44

  • 1 decade ago

    lets say you pay 100A$ without tax A*7.5/100 is tax. So you give 107.5 A.

    107.5A$=35$ A=32.55814

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