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Sales Tax and Total Cost
Definitions:
1) Sales tax - tax on the sale of an item or
service (always a percentage) that is added to
the price.
2) Total cost – the amount of your purchase
plus the sales tax rounded to the nearest
cent.
Taxes
Formulas:   Sales Tax ($)    %
                          =
             Original($)    100



Total Cost = Price + Sales Tax
Ex. 1: Find the sales tax and the total cost to
the nearest cent.
                        Let’s use the sales tax
A) Price: $20.00        proportion to solve this
                               problem.
   Tax Rate: 4%

Sales Tax ($)    %
              =
 Original($)    100
Find the sales tax and the total cost
to the nearest cent.
B) Price: $26.98        There is another way
                       to find the percent of a
  Tax Rate: 5%         number. Do you know
                              what it is?
 We are trying to find 5% of $26.98, right?
To find the percent of a number, you change
 the percent (5%)into a decimal (0.05) and
 multiply it times the other number (26.98)!
B) Price: $26.98
  Tax Rate: 5%


Let’s try it!
EKS.                    tax     %
3(A)             1.           =
1(B)                  original 100
AKS – 1 & 2

BJ – TSW
                 2. Final Cost = Original Cost + Tax
  Use percents
  calculate
 xes, tips,      1. Original Sales Tax Tax-Round to
 mmission,        Cost       Rate      the nearest  Total
nd total cost.
                                       hundredth
ocabulary:
eview
 Original Cost                                      Cost($)
 Tax
 Final Cost
 Percent
                 $10.00     8%
 Tip
 Commission




  Engage -
tax     % 2. Original Cost    $87.25
        =
original 100
             Sales Tax Rate     7%
Final    Tax-Round to the
Cost     nearest hundredth
  =
Original
Cost +
Tax
≈
approximately
                Total Cost($)
tax     % 3. Original Cost    $10.00
        =
original 100
             Sales Tax Rate     7.25%
Final    Tax-Round to the
Cost     nearest hundredth
  =
Original
Cost +
Tax
≈
approximately
                Total Cost($)
tax     % 4.    Original Cost   $25.00
        =
original 100
             Sales Tax Rate       8.25%
Final    Tax-Round to the           t          8.25
Cost                                       =
         nearest hundredth         25          100
  =
              0      0%
Original                                   = 25 x 8.25
         Part t      8.25%
Cost +              50%
Tax                                     t =  206.25
                                              100
                Whole25    100%        t = 2.0625
≈
approximately                          t ≈ 2.06
                Total Cost($)         25.00
                                    + 2.06
                                     $27.06
tax     % 5.     Original Cost $59.95
        =
original 100
             Sales Tax Rate      8.5%
Final    Tax-Round to the            t          8.5
Cost                                       =
         nearest hundredth         59.95        100
  =
              0      0%
Original                                   = 59.95 x 8.5
         Part t      8.5%
Cost +              50%
Tax                                    t =   509.575
                                              100
                59.95       100%
≈               Whole                  t = 5.09575
approximately                          t ≈ 5.10
                Total Cost($)         59.95
                                    + 5.10
                                     $65.05
 #5
tax     % 6. Original Cost    $115.05
        =
original 100
             Sales Tax Rate     8.75%
Final    Tax-Round to the     t         8.75
Cost     nearest hundredth 115.05 =     100
  =
Original                           = 115.05 x 8.75
Cost +
Tax                              t = 1006.6875
                                             100
≈
                                     t = 10.066875
approximately                        t ≈ 10.07
                Total Cost($)       115.05
                                  + 10.07
                                   $125.12
 #6
tax     % 7. Original Cost    $250.00
        =
original 100
             Sales Tax Rate     8.25%
Final    Tax-Round to the        t            8.25
Cost                                      =
         nearest hundredth      250           100
  =
Original                                  = 250 x 8.25
Cost +
Tax                                   t =  2062.5
                                            100
≈
                                     t = 20.625
approximately                        t ≈ 20.63
                Total Cost($)       250.00
                                  + 20.63
                                   $270.63
 #7
tax     % 8. Original Cost    $475.25
        =
original 100
             Sales Tax Rate     7.5%
Final    Tax-Round to the          t            7.5
Cost                                   =
         nearest hundredth      475.25          100
  =
                                              475.25 x 7.5
Original                                  =
Cost +
Tax                                    t = 3564.375
                                            100
≈
                                     t = 35.64375
approximately                        t ≈ 35.64
                Total Cost($)       475.25
                                  + 35.64
                                   $510.89
 #8
tax     % 8.    Original Cost   $1,050.00
        =
original 100
             Sales Tax Rate       7.5%
Final    Tax-Round to the            t         7.5
Cost                                       =
         nearest hundredth        1050         100
  =
Original                                   = 1050 x 7.5
Cost +
Tax                                      t =   7875
                                                100
                                         t = 78.75

           Total Cost($)               1050.00
                                    +    78.75
                                      $1128.75
 #9
tax     % 9.    Original Cost   $10,500.00
        =
original 100
             Sales Tax Rate       8.25%
Final    Tax-Round to the           t            8.25
Cost                                    =
         nearest hundredth        10500          100
  =
                                               10500 x 8.25
Original                                   =
Cost +
Tax                                    t =      86625
                                                 100
                                          t = 866.25

           Total Cost($)             10500.00
                                    + 866.25
                                    $11366.25
 #10
tax     % 11. Original Cost $37.00
        =
original 100
             Sales Tax Rate   8.25%
Final    #11. Tax-Round to              t           8.25
Cost                                          =
          the nearest                  37           100
  =       hundredth
                                                  37 x 8.25
Original                                      =
Cost +
Tax                                         t = 305.25
                                                 100
≈
                                          t = 3.0525
approximately                             t ≈ 3.05
                #12.   Total Cost($)     37.00
                                       + 3.05
                                         40.05

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Sales Tax and Total Cost

  • 1. Sales Tax and Total Cost Definitions: 1) Sales tax - tax on the sale of an item or service (always a percentage) that is added to the price. 2) Total cost – the amount of your purchase plus the sales tax rounded to the nearest cent.
  • 2. Taxes Formulas: Sales Tax ($) % = Original($) 100 Total Cost = Price + Sales Tax
  • 3. Ex. 1: Find the sales tax and the total cost to the nearest cent. Let’s use the sales tax A) Price: $20.00 proportion to solve this problem. Tax Rate: 4% Sales Tax ($) % = Original($) 100
  • 4. Find the sales tax and the total cost to the nearest cent. B) Price: $26.98 There is another way to find the percent of a Tax Rate: 5% number. Do you know what it is? We are trying to find 5% of $26.98, right? To find the percent of a number, you change the percent (5%)into a decimal (0.05) and multiply it times the other number (26.98)!
  • 5. B) Price: $26.98 Tax Rate: 5% Let’s try it!
  • 6. EKS. tax % 3(A) 1. = 1(B) original 100 AKS – 1 & 2 BJ – TSW 2. Final Cost = Original Cost + Tax Use percents calculate xes, tips, 1. Original Sales Tax Tax-Round to mmission, Cost Rate the nearest Total nd total cost. hundredth ocabulary: eview Original Cost Cost($) Tax Final Cost Percent $10.00 8% Tip Commission Engage -
  • 7. tax % 2. Original Cost $87.25 = original 100 Sales Tax Rate 7% Final Tax-Round to the Cost nearest hundredth = Original Cost + Tax ≈ approximately Total Cost($)
  • 8. tax % 3. Original Cost $10.00 = original 100 Sales Tax Rate 7.25% Final Tax-Round to the Cost nearest hundredth = Original Cost + Tax ≈ approximately Total Cost($)
  • 9. tax % 4. Original Cost $25.00 = original 100 Sales Tax Rate 8.25% Final Tax-Round to the t 8.25 Cost = nearest hundredth 25 100 = 0 0% Original = 25 x 8.25 Part t 8.25% Cost + 50% Tax t = 206.25 100 Whole25 100% t = 2.0625 ≈ approximately t ≈ 2.06 Total Cost($) 25.00 + 2.06 $27.06
  • 10. tax % 5. Original Cost $59.95 = original 100 Sales Tax Rate 8.5% Final Tax-Round to the t 8.5 Cost = nearest hundredth 59.95 100 = 0 0% Original = 59.95 x 8.5 Part t 8.5% Cost + 50% Tax t = 509.575 100 59.95 100% ≈ Whole t = 5.09575 approximately t ≈ 5.10 Total Cost($) 59.95 + 5.10 $65.05 #5
  • 11. tax % 6. Original Cost $115.05 = original 100 Sales Tax Rate 8.75% Final Tax-Round to the t 8.75 Cost nearest hundredth 115.05 = 100 = Original = 115.05 x 8.75 Cost + Tax t = 1006.6875 100 ≈ t = 10.066875 approximately t ≈ 10.07 Total Cost($) 115.05 + 10.07 $125.12 #6
  • 12. tax % 7. Original Cost $250.00 = original 100 Sales Tax Rate 8.25% Final Tax-Round to the t 8.25 Cost = nearest hundredth 250 100 = Original = 250 x 8.25 Cost + Tax t = 2062.5 100 ≈ t = 20.625 approximately t ≈ 20.63 Total Cost($) 250.00 + 20.63 $270.63 #7
  • 13. tax % 8. Original Cost $475.25 = original 100 Sales Tax Rate 7.5% Final Tax-Round to the t 7.5 Cost = nearest hundredth 475.25 100 = 475.25 x 7.5 Original = Cost + Tax t = 3564.375 100 ≈ t = 35.64375 approximately t ≈ 35.64 Total Cost($) 475.25 + 35.64 $510.89 #8
  • 14. tax % 8. Original Cost $1,050.00 = original 100 Sales Tax Rate 7.5% Final Tax-Round to the t 7.5 Cost = nearest hundredth 1050 100 = Original = 1050 x 7.5 Cost + Tax t = 7875 100 t = 78.75 Total Cost($) 1050.00 + 78.75 $1128.75 #9
  • 15. tax % 9. Original Cost $10,500.00 = original 100 Sales Tax Rate 8.25% Final Tax-Round to the t 8.25 Cost = nearest hundredth 10500 100 = 10500 x 8.25 Original = Cost + Tax t = 86625 100 t = 866.25 Total Cost($) 10500.00 + 866.25 $11366.25 #10
  • 16. tax % 11. Original Cost $37.00 = original 100 Sales Tax Rate 8.25% Final #11. Tax-Round to t 8.25 Cost = the nearest 37 100 = hundredth 37 x 8.25 Original = Cost + Tax t = 305.25 100 ≈ t = 3.0525 approximately t ≈ 3.05 #12. Total Cost($) 37.00 + 3.05 40.05