Question

The prices of items in a shop were reduced by 10% during reduction sales. if a costumer buys an electric fan at $810.00. What was the original price?​

Answer 1

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.

Comprehending

We can start by analyzing the problem and creating an equation to then begin solving.

So, we know that a number, which we will call $x$ has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.

We can create a formula and steps by doing the following:

$x*0.9=810$

We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).

This states that 90% of a number is equal to 810.

Now that we have an equation, we can begin solving.

Solving

We can solve the problem by using basic algebra.

$x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900$

On step 1, we convert the decimal to a fraction for easy simplification/solving.

On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.

On step 3, we use basic algebra and after step 4 we get our answer.

We can double check out answer by doing the following:

$900-(900*0.10)=810?\\900-90=810?\\810=810$

We have checked our answer and gotten our answer of $900.

Cheers!