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Problem-Solving and Data Analysis / Percentages Difficulty: Hard

The result of increasing the quantity $x$ by $1,800 percent sign$ is $684$ . What is the value of $x$ ?

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Explanation

Choice D is correct. It’s given that the result of increasing the quantity $x$ by $1,800 percent sign$ is $684$ . It follows that $x + (\frac{1,800}{100}) x = 684$ , which is equivalent to $x + 18 x = 684$ , or $19 x equals 684$ . Dividing each side of this equation by $19$ yields $x equals 36$ . Therefore, the value of $x$ is $36$ .

Choice A is incorrect. The result of increasing the quantity $12,996$ by $1,800 percent sign$ is $246,924$ , not $684$ .

Choice B is incorrect. The result of increasing the quantity $12,312$ by $1,800 percent sign$ is $233,928$ , not $684$ .

Choice C is incorrect. The result of increasing the quantity $38$ by $1,800 percent sign$ is $722$ , not $684$ .