Question

Ananyan wants to purchase a new tab for his online classes. He purchased it for
38640 inclusive of 8% VAT. Then the price of the tab without VAT is

$\rightarrow \: only \: mathdude500 \: will \: answer \: this \: question$
​

Answer 1

$\large\underline{\sf{Solution-}}$

Given that,

Ananyan wants to purchase a new tab for his online classes. He purchased it for 38640 inclusive of 8% VAT.

Let assume that price of tab before vat be x

Vat % = 8 %

So,

$\rm\implies \:Vat = \dfrac{8}{100}x = \dfrac{2x}{25}$

Now, Purchase price = 38640

We know,

$\rm \: Purchase \: price \: = \: Original \: price \: + \: Vat$

So, on substituting the values, we get

$\rm \: 38640 = x + \dfrac{2x}{25}$

$\rm \: 38640 = \dfrac{25x + 2x}{25}$

$\rm \: 38640 = \dfrac{27x}{25}$

$\rm \: x = \dfrac{38640 \times 25}{27}$

$\rm\implies \:x = 35777.78 \: \: \: (approx.)$

So, Price of tab without vat is 35777.78 (approx.)

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$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$

Answer 2

Given :

• Ananyan purchased new tab for 38640 Rs inclusive of 8% VAT.

To Find :

• Price of the tab without VAT

$\large\underline{\sf{Solution-}}$

Assume that :

• Let the original price of new tab for his online classes = x Rs

Here ,

• Price of new tab including VAT = 38640 Rs

• Rate of VAT = 8 percent

So,

$\rm\implies \: \dfrac{S.P \times 100}{100 +VAT \%} = \: \dfrac{38640 \times 100}{100 + 8}$

$\rm \implies\: \dfrac{38640 \times 100}{108}$

$\rm\implies \: \dfrac{3864000}{108}$

$\rm \implies{35777.78}(approx)$

Or

$\rm\implies\:x + 8 \% \: of \: x =38640$

$\rm\implies \: x + \dfrac{8}{100} \times x = 38640$

$\rm \implies\: \dfrac{108x}{100} = 38640$

$\rm \implies\:x = \dfrac{38640 \times 100}{108}$

$\rm\implies \:x = 35777.78 \: \: \: (approx.)$

Therefore ,

• The price of the tab without VAT is 35777.78 Rs

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