Question

The price of a chimney is £2880 including tax at 20%. What is the price without the tax?

Answer 1

$\large\underline{ \underline{ \text{Question:}}}$

• The price of a chimney is £2880 including tax at 20%. What is the price without the tax?

$\large\underline{ \underline{ \text{Solution:}}}$

Given that,

• $\text{The Final Price} = \pounds2880$
• $\text{Including Tax} = 20\%$

Let's,

• $\text{The Price without Tax} = x$

We can say that,

$\implies\text{The Final Price} = \pounds2880$

$\implies(\text{Including Tax}) \: of \:(\text{The Price without Tax} ) + \text{The Price without Tax} = \pounds2880$

Substituting the given and assumed values,

$\implies 20\% \: of \:x + x = \pounds2880$

$\implies \frac{20}{100} \times (x) + x = \pounds2880$

$\implies \cancel\frac{20}{100} \times (x) + x = \pounds2880$

$\implies \frac{x}{5} + x = \pounds2880$

$\implies \frac{x + 5x}{5} = \pounds2880$

$\implies \frac{6}{5}x = \pounds2880$

$\implies x = \pounds2880 \times \frac{5}{6}$

$\implies x = \pounds2400$

As we assumed,

• $\text{The Price without Tax} = \pounds2400$

$\large\underline{ \underline{ \text{Required Answer:}}}$

• The price without Tax is £2400.