# Alex purchased a new suit discounted by 65%. He paid $35.80 for the suit. What was its original price?

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We would use a proportion to solve this problem. First, discounted 65%, Alex paid 35% for the suit. The proportion is of the form:

is/of = n/100

In this case, "is/of" would be tweeked to be "discounted price/regular price". We know the discounted price, $35.80. We don't know the regular price. So, that's x. "n" is the percent, 35. So, we have:

35.80/x = 35/100

Solving this for x:

35.80*100 = 35x

x = 35.80*100/35 = $102.29.

So, the regular price is $102.29.

Alex's new suit is discounted by 65%, costing him $35.80. Therefore Alex pays 100%-65%= 35% of the original price.

Let x= the original price:

`therefore x=35.80/35 times 100`

`therefore x=$102.29`

**Ans: The original price of the suit was $102.29**

**QUESTION:-**

**Alex purchased a new suit discounted by 65%. He paid $35.80 for the suit. What was its original price?**

**SOLUTION:-**

*Discount applied = 65%*

*Sale price = $35.80*

*Original price = ?*

As we know the sale price and the discount applied on the suit, we have to find out the original price of the suit.

100%-65%=35%

Now we will create a formula that will help us finding the original price.

Let the original price be x;

35% of sale price = Original price

`(35/100)*35.80=x`

`x=35.80*0.35`

`x=102.29`