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Problem-Solving and Data Analysis / Percentages Difficulty: Hard

$210$ is $p %$ greater than $30$ . What is the value of $p$ ?

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Explanation

The correct answer is $600$ . It’s given that $210$ is $p %$ greater than $30$ . It follows that $210 = (1 + \frac{p}{100}) (30)$ . Dividing both sides of this equation by $30$ yields $7 = 1 + \frac{p}{100}$ . Subtracting $1$ from both sides of this equation yields $6 = \frac{p}{100}$ . Multiplying both sides of this equation by $100$ yields $p equals 600$ . Therefore, the value of $p$ is $600$ .