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# The cost of a pair of shoes is Rs. $450$. The sales tax charged was $6\%$. Find the bill amount.

Last updated date: 13th Jun 2024
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Hint: This is a problem of percentage where $x\% \,\,$ of $A$ is equal to $\dfrac{x}{{100}} \times A$. Here sales tax is given $6\%$ of the cost price so, firstly find the amount to be paid as sell tax which is given by $6\%$ of $450$ then add the tax amount to the cost price to find the total amount to be paid.

Complete step by step answer:
Here, It is given that the cost price of a pair of shoes is Rs. 450.
And the sales tax charged is $6\%$ of the cost price of a pair of shoes.
The amount to be paid as sales tax (S) for a pair of shoes $= 6\%$ of $450$
$\Rightarrow S= \dfrac{6}{{100}} \times 450$
$\Rightarrow S = \dfrac{{2700}}{{100}}$
$\Rightarrow S = 27$
Amount to be paid as sells tax is Rs. $27$
$\text{Total amount to be paid for a pair of shoes = cost price of a pair of shoes + sales tax}$
$\Rightarrow \text{Total amount to be paid for a pair of shoes} = 450 + 27$
$\Rightarrow \text{Total amount to be paid for a pair of shoes} = 477$

$\therefore$ The total cost to be paid for a pair of shoes is Rs. 477.

Note:
A sale tax is a fixed amount that is paid to the governing bodies for the sales of certain goods and services.
A similar concept is applied when a discount is offered by the seller of goods. Discount is offered at marked price so we calculate the discount as $\dfrac{y}{{100}} \times MP$ and the final price of goods will be calculated by formula $MP - discount$.
Trick: $\text{Bill amount (total amount to be paid by the customer)} = A \pm A \times \dfrac{x}{{100}}$ here, $A$ is the cost price of the goods and $x$ is the selling tax or discount imposed or given on the price of goods.