: Shyam purchases a scooter costing $ Rs.36,450 $ and the rate of sales is $ 9\% $ , then the total amount by her is:

Hint: Rate of sales is the amount of interest charged by the government on every item we buy, which is included in our bill. So the total amount that shyam has to pay is the amount of scoter added with the rate of sales. So we will simply calculate the amount of interest charged which we will further add with the amount of scooter to find the total amount shyam had to pay.

Complete step by step answer:
Moving ahead with the question;
Actual amount of scooter $ =36,450Rs $
Total amount that shyam had to pay will be actual amount of scooter plus $ 9\% $ rate of sales charged on the scooter, i.e. $ 36,450+9\%sales tax $
So sales tax is the amount of interest charged over the item we buy, as it depends on the amount of item we buy, because the interest is charged over the actual amount of item, as in our case it is $ 9\% $ of the actual amount of scooter.
So $ 9\% $ of actual amount of scooter is;
 $ 9\% $ of $ 36,450Rs $
So as we know that we can write it as;
 $ \dfrac{9}{100}\times 36450 $
Which on simplifying we will get;
 $ \dfrac{328050}{100}=3280.5 $
So $ 9\% $ of $ 36,450Rs $ is $ 3280.5Rs $
So Total amount shyam had to pay will be;
Actual amount of scooter plus $ 9\% $ of $ 36,450Rs $ i.e.
 $ 36,450Rs+3280.5Rs $
Which will be $ 39,730.5Rs $
Hence answer is $ 39,730.5Rs $ i.e. shyam had to pay $ 39,730.5Rs $

Note: Rate of sales is the amount of interest charged on the actual amount on the item we bought, as in our case it is on the actual amount of scooter i.e.$9\%$ of the actual amount of scooter. Moreover rate of interest also varies on category of items.