
A geometry box is marked for \[Rs{\text{ }}45\]. If the rate of sales tax is $7\% $ .Find the amount a customer has to pay for it.
Answer
540.6k+ views
Hint- To solve this problem we determine the amount to be paid by the consumer by applying the specified sum and the sales tax at the marked level.
Complete step-by-step answer:
Given statement is a geometry box marked for \[Rs{\text{ }}45\]. If the rate of sales tax is $7\% $ .
Here marked price for geometry box = \[RS{\text{ }}45\]
and the rate of sales tax is $7\% $
We'll first measure the amount to be charged due to sales tax
So sales tax $ = $ the rate of sales rate $ \times $ marked price \[/{\text{ }}100\]
\[ = {\text{ }}7{\text{ }} \times {\text{ }}45/100\; = {\text{ }}3.15\]
Total amount that customer has to pay $ = $$\% $marked price of box $ + $ sales tax amount
\[ = {\text{ }}3.15{\text{ }} + {\text{ }}45{\text{ }} = {\text{ }}Rs{\text{ }}48.15\]
Hence the amount a customer has to pay for the box is \[Rs{\text{ }}48.15\].
Note- A percentage in mathematics is a number, or ratio, expressed as a fraction of $100$. It is frequently denoted using the "$\% $" symbol.
Complete step-by-step answer:
Given statement is a geometry box marked for \[Rs{\text{ }}45\]. If the rate of sales tax is $7\% $ .
Here marked price for geometry box = \[RS{\text{ }}45\]
and the rate of sales tax is $7\% $
We'll first measure the amount to be charged due to sales tax
So sales tax $ = $ the rate of sales rate $ \times $ marked price \[/{\text{ }}100\]
\[ = {\text{ }}7{\text{ }} \times {\text{ }}45/100\; = {\text{ }}3.15\]
Total amount that customer has to pay $ = $$\% $marked price of box $ + $ sales tax amount
\[ = {\text{ }}3.15{\text{ }} + {\text{ }}45{\text{ }} = {\text{ }}Rs{\text{ }}48.15\]
Hence the amount a customer has to pay for the box is \[Rs{\text{ }}48.15\].
Note- A percentage in mathematics is a number, or ratio, expressed as a fraction of $100$. It is frequently denoted using the "$\% $" symbol.
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