Question

I purchased a hair-dryer for ₹ 5,400 including 8% VAT. Find the price before VAT was added.
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Answer 1

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

$\small\underline\mathrm\blue{Given-}$

⭐ The cost of air cooler for Rs. 5400 including VAT 8%

$\small\underline\mathrm\red{To\: Find:-}$

⭐ find the price before the VAT was added

$\small\underline\mathrm\pink{Solution:-}$

Let the original price of the air cooler be Rs. x

VAT = 8% of Rs x $\implies$Rs

x $\times \frac{8}{100} = \frac{2x}{25}$

$\bold{Price\: including\: VAT,}$

$\implies$ rs(x + $\frac{2x}{25}$ ) = $\frac{27x}{25}$

$\implies$ $\frac{27x}{25}$ = 5400

$\implies$x= 5400 x $\large{\sf {\frac{25}{27}}}$

$\boxed{\small{\bf\red{x = 50000}}}$

Answer 2

Let the price before the VAT be ‘x’
ATQ,
x+8% of x=5400
x+(8/100)x=5400
x+8x/100=5400
100x/100+8x/100=5400
108x/100=5400
108x=5,40,000
x=5,40,000/108
x=₹5000
Therefore,the cost before VAT was ₹5000


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