Question

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

Answer 1

Heya ✋

Given that

Cost of hair - dryer including VAT = ₹5,400

VAT % = 8 %

Solution

Let the price of the hair - dryer before VAT was added be ₹x. Then,

according to question,

x + 8 % of x = 5,400

=> x + 8/100 × x = 5,400

=> x + 2x/25 = 5,400

=> 25x + 2x/25 = 5,400

=> 27x/25 = 5,400

=> x = 5,400 × 25/27

=> x = 5,000

Hence , the price of the hair - dryer before VAT was added is ₹5,000.






Thanks

Answer 2

$\huge\underbrace\mathtt\color{aqua}{Hola\:Mate}$

Question

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

Answer : 5000

Solution

Price after 8% VAT = 5400

If the initial price=x

VAT = 8%

Final price = $x+ \frac{8 x}{100}$

$= \: x \: ( \frac{108}{100} )$

Given:- $\frac{108 x}{100} = 5400$

⇒ x =$\frac{ 5400×100}{108} = 5000$

=5000

∴ The price of hair dryer before VAT was added =5000Rs.

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