We will discuss here how to calculate the sales tax in a bill.
1. Jack bought the following electrical items from a shop.
Items:
Fans Lamps Switches Tubes Electric wire 
Quantity:
4 2 dozens 5 dozens 6 230 metres 
Rate:
$ 675 each $ 110/Dozen $ 41/Dozen $ 135 each $ 2.50/ metre 
If the sales tax is charged at the rate of 7% on all these items, find the total amount paid by Jack.
Solution:
Cost of 4 fans = $ (675 x 4) = $ 2,700
Cost of 2 dozen lamps = $ (110 x 2) = $ 220
Cost of 5 dozen switches = $(41 x 5) = $ 205
Cost of 6 tubes = $(135 x 6) = $ 810
Cost of 230 meter of wire = $ (2.50 x 230) = $ 575
Therefore, the total cost of all items = $ 2,700 + $ 220 + $ 205 + $ 810 + $ 575 = $ 4,510
Therefore, sales tax at the rate of 7% = $ (4510 x \(\frac{7}{100}\)) = $ 315.70
Therefore, total amount paid by Jack = $ 4,510 + $ 315.70 = $ 4,825.70
2. Richard bought the following goods from a departmental store.
Commodity: Cosmetics Medicines
Bakery products Stationery 
Marked price: $ 450 $ 250
$ 103 $ 185 
Rate of sales tax: 10% 8%
Nil 5% 
Find the total amount Richard had to pay for the commodities. How much did she pays as sales tax.
Solution:
For cosmetics; here, the marked price P = $450, the rate of sales tax = 10%, i.e. r = 10
Therefore, S = P(1 + \(\frac{r}{100}\))
⟹ S = $ 450 × (1 + \(\frac{10}{100}\))
= $ 450 × (\(\frac{11}{10}\))
= $ 495
For medicines; here, the marked price P = $250, the rate of sales tax = 8%, i.e. r = 8
Therefore, S = P(1 + \(\frac{r}{100}\))
⟹ S = $ 250 × (1 + \(\frac{8}{100}\))
= $ 250 × (\(\frac{27}{25}\))
= $ 270
For bakery products; here S = P = $ 103, as there is no sales tax
For stationery; here, the marked price P = $185, the rate of sales tax = 5%, i.e. r = 5
Therefore, S = P(1 + \(\frac{r}{100}\))
⟹ S = $ 185 × (1 + \(\frac{5}{100}\))
= $ 185 × (\(\frac{21}{10}\))
= $ 194.25
Therefore, the total amount paid = $495 + $270 + $103 + $ 194.25 = $ 1062.25
The total amount of sales tax paid = ($495  $450) + ($270  $250) + 0 + ($ 194.25  $ 185)
= $45 + $20 + 0 + $9.25
= $74.25
`● Sales Tax and Value Added Tax
10th Grade Math
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