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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

The number k is 36% greater than 50. If k is the product of 50 and r, what is the value of r ?

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Explanation

Choice C is correct. It’s given that the number k is 36% greater than 50. Therefore, the value of k is the number 50 plus 36% of 50. This can be rewritten as $k equals, 50 plus, the fraction 36 over 100, end fraction, times 50$ . Multiplying the terms $the fraction 36 over 100, end fraction, times 50$ yields 18, so $k equals, 50 plus 18$ , or $k equals 68$ . It’s also given that k is the product of 50 and r, which can be rewritten as $k equals 50 r$ . Substituting 68 for k yields $68 equals 50 r$ . Dividing both sides of this equation by 50 yields $r equals 1 point 3 6$ .

Choice A is incorrect. This is the percentage that k is greater than 50. Choice B is incorrect and may result from a calculation error. Choice D is incorrect. This would be the value of r if k were 36% of 50, instead of 36% greater than 50.