Question

Anushka and her family go out for dinner their total bill including 18% tax was rupees 4720 what was the actual amount of Bill excluding tax​

Answer 1

❏ Formula used:-

✦ If a% of X is Y , then

$\sf\longrightarrow \boxed{\red{Y=\frac{X\times a }{100}}}$

✦ If a% increase in X is Y , then

$\sf\longrightarrow \boxed{\red{Y=X+\frac{X\times a }{100}}}$

✦ If a% decrease in X is Y , then

$\sf\longrightarrow \boxed{\red{Y=X-\frac{X\times a }{100}}}$

❏ Question:-

@Anushka and her family go out for dinner their total bill including 18% tax was rupees 4720 what was the actual amount of Bill excluding tax ??

❏ Solution:-

Let, the Actual Bill amount is=X Rs

Now, Tax percentage over The actual bill amount is = 18% .

Therefore , bill amount after applying the tax is

$\sf\longrightarrow (X+18\%\:of \:X)\:\:Rs$

$\sf\longrightarrow X(1+\frac{18}{100})\:\:Rs$

$\sf\longrightarrow \frac{118X}{100}\:\:Rs$

Now, according to the problem The amount after the applied tax is = 4720 Rs

$\sf\therefore\frac{18X}{100}=4720$

$\sf\longrightarrow X=4720\times \frac{100}{18}\:\: Rs$

$\sf\longrightarrow X=\cancel{4720}\times \frac{100}{\cancel{118}}\:\: Rs$

$\sf\longrightarrow X=40\times 100\:\: Rs$

$\sf\longrightarrow\tt \boxed{\bf X=4000\:\: Rs}$

∴ The actual Bill amount was= 4000 Rs.

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$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

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