Question

Griffith purchased a new used card for $\$ 9400$. He paid $6.5\% $ sales tax. How much did he pay in total for the car?

Answer 1

Hint: To solve this question, we need to know the method of finding a certain percentage of the given value. Because our first step here will be to determine $6.5\% $ of the given purchasing price. After that we will add the obtained value to the purchase price which will ultimately give us the total amount which Griffith had paid for the car.

Complete step by step answer:
Our first step is to find the amount of sales tax which is $6.5\% $ of the purchasing price of the car which is $\$ 9400$
We know that the percentage is based on total of $100\% $. Therefore, $6.5\% $ of $\$ 9400$ can be calculated by the following method:
Let us consider that the sales tax is $\$ x$.

Percentage $\% $	Price $\$ $
100	9400
6.5	$x$

Therefore, $6.5\% $ of $\$ 9400$ is $x = \dfrac{{6.5 \times 9400}}{{100}} = \dfrac{{65 \times 94}}{{10}} = 611$.
Thus, the sales tax paid by Griffith is $\$ 611$.
Now we can obtain the total price of the car by adding this sales price to the purchasing price.
Therefore, the total amount paid by Griffith is: $\$ 9400 + \$ 611 = \$ 10011$.

Note: We can solve this question by another method, too.
In this method, we can consider the purchase price of the car $\$ 9400$ as $100\% $.
Therefore, if we add $6.5\% $sales tax then the total price of the car in percentage will become $106.5\% $.
So, if we calculate $106.5\% $of $\$ 9400$, we can get our answer. This can be done by using the following method.
Let us consider that total amount paid by Griffith for the car is $\$ y$.

Percentage $\% $	Price $\$ $
100	9400
106.5	$y$

Therefore, $106.5\% $ of $\$ 9400$ is $y = \dfrac{{106.5 \times 9400}}{{100}} = \dfrac{{1065 \times 94}}{{10}} = 10011$.
Thus, the total amount paid by Griffith is $\$ 10011$.