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Problem-Solving and Data Analysis / Percentages Difficulty: Hard

$140$ is $p %$ greater than $10$ . What is the value of $p$ ?

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Explanation

Choice B is correct. It's given that $140$ is $p %$ greater than $10$ . It follows that $140 = 10 + (\frac{p}{100}) 10$ , which is equivalent to $140 = 10 + \frac{10}{100} p$ , or $140 = 10 + 0.1 p$ . Subtracting $10$ from each side of this equation yields $130 equals 0.1 p$ . Dividing each side of this equation by $0.1$ yields $1,300 equals p$ , or $p equals 1,300$ .

Choice A is incorrect. This would be the value of $p$ if $140$ were $p %$ of $10$ , not $p %$ greater than $10$ .

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.