Due to festive season, the price of air tickets increased by 15%. If the price of one ticket was $575 during the festive season, what was its price before the festive season? answer fast

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In percent of change problems, some quantity either increases or decreases from its original number; we must find the percent of change from the original number to the new number. We'll look at a problem and solve it using two different methods.     Frank bought a new television set on sale. If the TV's original price was $200 and Frank paid $170 for the TV, what was the percent of decrease?Method 1: A pure algebraic approachThe unknown in this problem is the percent of decrease. A percent of decrease is the percentage of the original price that was deducted from the original price to obtain the sale price. We could write a "word equation" for this process like this:original price - (percent of decrease)(original price) = sale priceSince the percent of decrease is the unknown in this problem, we'll call the percent of decrease x%. Here's what we know so far: The original price was $200The sale price was $170The percent of increase was x%    Putting this information in our word equation gives us an algebraic equation:200 - (x%)(200) = 170What do we do with the percent sign in this equation? "Percent" means "out of 100", so x% means x out of 100, or . Now we have this:200 - (200) = 170Now we'll solve our equation:200 - (200) = 170200 - 2x = 170-2x = -30x = 15So the percent of decrease is 15%   Method 2: A method involving pure arithmetic.If we know the original price and the sale price, we can find the percent of decrease in two steps:Find the amount of decreaseDivide the amount of decrease by the original amountThis will give us the percent of decrease (written as a decimal number). We can then write the decimal as an equivalent percent to find our final answer.    Let's use method 2 on the same problem:Frank bought a new television set on sale. If the TV's original price was $200 and Frank paid $170 for the TV, what was the percent of decrease?First, let's find the amount of decrease:Amount of decrease = 200 - 170 = 30So the price decreased by $30.    Next, we'll find the percent of decrease, and rewrite the decimal answer as a percent:Percent of decrease =  = = .15 = 15%So the percent of decrease is 15%    Before we leave the problem, let's check our Original price = $200Price reduced by 15% of original price = 200(.15) = $30Sale price would then be = $200 - $30 = $170

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