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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Percentages
Difficulty
Medium
ID: 8e2e424e
Modded SAT Question Bank by Abdullah Mallik

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

  1. 36

  2. 3.6

  3. 1.36

  4. 0.36

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Correct Answer: C
Rationale

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.

 

Question Difficulty: Medium
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