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Problem-Solving and Data Analysis / Percentages Difficulty: Hard

The result of increasing the quantity $x$ by $400 percent sign$ is $60$ . What is the value of $x$ ?

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Explanation

Choice A is correct. It's given that the result of increasing the quantity $x$ by $400 percent sign$ is $60$ . This can be written as $x + (\frac{400}{100}) x = 60$ , which is equivalent to $x + 4 x = 60$ , or $5 x equals 60$ . Dividing each side of this equation by $5$ yields $x equals 12$ . Therefore, the value of $x$ is $12$ .

Choice B is incorrect. The result of increasing the quantity $15$ by $400 percent sign$ is $75$ , not $60$ .

Choice C is incorrect. The result of increasing the quantity $240$ by $400 percent sign$ is $1,200$ , not $60$ .

Choice D is incorrect. The result of increasing the quantity $340$ by $400 percent sign$ is $1,700$ , not $60$ .