**Percent of a number tax discount and more :**

**Sales tax :**

This sales tax is charged by the government on the sale of an item. It is collected by the shopkeeper from the customer and given to the government.

This is, therefore, always on the selling price of an item and is added to the value of the bill. These days however, the prices include the tax known as Value Added Tax (VAT).

**Discount :**

Discount is the reduction in value on the marked Price or list price of the article.

**Discount = Marked Price - Selling Price
**

**Selling Price = Marked Price - Discount
**

**Marked Price = Selling Price + Discount**

Let us see some example problems based on the above concept.

**Example 1 :**

A bicycle marked at $1,500 is sold for $1,350. What is the percentage of discount?

**Solution :**

Marked price = $1,500

Selling price = $1,350

Discounted amount = 1500 - 1350

= 150

Discount percentage

= (Discounted amount / Marked price) x 100%

= (150/1500) x 100%

= 10%

**Example 2 :**

The list price of a frock is $ 220. A discount of 20% on sales is announced.
What is the amount of discount on it and its selling price ?

**Solution :**

List price of a frock = $220

Discount percentage = 20

Amount of discount = 20% of 220

= (20/100) x 220

= 44

Selling price = List price - Amount of discount

= 220 - 44

= 176

**Example 3 :**

An table is sold at $5,225 after allowing a discount of 5%. Find its
marked price.

**Solution :**

Selling price of the table = $5225

Discount percentage = 5%

Let "x" be the marked price

x - 5% of x = 5225

x - (5/100) x = 5225

x - 5x/100 = 5225

(100x - 5x)/100 = 5225

95x/100 = 5225

Multiply by 100 on both sides,

95x = 5225 (100)

Divide by 95 on both sides, we get

x = 5225(100)/95

x = 5500

Hence, the marked price of the table is $5500.

**Example 4 :**

I purchased a hair-dryer for $5,400 including 8% VAT. Find the price before VAT was added.

**Solution :**

Selling price of hair dryer (including tax) = 5400

Let "x" be the marked price

x + 8% of x = 5400

x + (8/100)x = 5400

x + (2/25)x = 5400

(25x + 2x)/25 = 5400

27x / 25 = 5400

Multiply by 25 on both sides,

27x = 5400 (25)

Divide by 27 on both sides,

x = 5400(25)/27

x = 5000

Amount paid for sales tax = 8% of 5000

= (8/100) 5000

= 400

Hence, the amount paid for sales tax is $400.

After having gone through the stuff given above, we hope that the students would have understood "Percent of a number tax discount and more".

Apart from the stuff given above, if you want to know more about "Percent of a number tax discount and more", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**