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An electronics store purchases a certain video game from the manufacturer, but in a mass amount of clutter the original purchase price is lost. The store sells the game at a mark-up of 120% over the purchase price. A coupon which the store offers in the local newspaper will reduce the price by 20%. With the coupon, the profit made on the sale of the video game is $5.76. What was the original purchase price of the video game? Give your answer as a decimal rounded to the nearest hundredth.
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