- Step 1: Calculate the tax amount
The tax rate is given as 10%, which means that the tax amount is 10% of the price of the watch before tax. We can use the following formula to calculate the tax amount:
Tax amount = (Tax rate/100) * Price before tax
Substituting the values given in the problem, we get:
Tax amount = (10/100) * Price before tax
Tax amount = 0.1 * Price before tax
- Step 2: Calculate the price before tax
Now that we know the tax amount, we can use the following formula to calculate the price before tax:
Price before tax = Price after tax - Tax amount
Substituting the values given in the problem, we get:
Price before tax = 3300 - (0.1 * Price before tax)
Multiplying both sides by 10, we get:
10 * Price before tax = 33000 - Price before tax
Adding Price before tax to both sides, we get:
11 * Price before tax = 33000
Dividing both sides by 11, we get:
Price before tax = 3000
- Step 3: Check the answer
To verify our answer, we can calculate the tax amount using the formula we derived earlier:
Tax amount = (10/100) * Price before tax
Tax amount = (10/100) * 3000
Tax amount = 300
Adding the tax amount to the price before tax, we get:
Price after tax = Price before tax + Tax amount
Price after tax = 3000 + 300
Price after tax = 3300
Therefore, our answer checks out.