Question

A new television set was recently purchased for the common room in a residence hall for $436.80 including tax the tax rate is 4% find the price of the television is that before taxes

Answer 1

Answer:

The price of the television before taxes is $420

Step-by-step explanation:

* Lets explain how to solve the problem

- The purchased price = cost price +  taxes

- A new television set was recently purchased for the common room

 in a residence hall for $436.80

- This price including tax

- The tax rate is 4%

- We need to find the price of the television before taxes

* Lets solve the problem

- Assume that the price of the television before tax is 100%

∵ The tax rate is 4%

∵ The price after tax = price before tax + tax

∵ The price before tax = 100%

∴ The price after tax  = 100% + 4% = 104%

∵ 104% equivalent to $436.80

∴ 100   ⇒   ?

  104   ⇒   436.80

- By using cross multiplication

∴ ? = $\frac{(436.80)(100)}{104}=420$

∴ The price of the television before taxes is $420