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
From Sales Tax in a Bill to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Dec 06, 23 01:23 AM
Dec 04, 23 02:14 PM
Dec 04, 23 01:50 PM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.