Question the-nu
The number k is 36% greater than 50. If k is the product of 50 and r, what is the value of r ?
36
3.6
1.36
0.36
The number k is 36% greater than 50. If k is the product of 50 and
Hard-difficulty · SAT Math · Percentages — Percent increase/decrease. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer 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 
. Multiplying the terms 
yields 18, so 
, or 
. It’s also given that k is the product of 50 and r, which can be rewritten as 
. Substituting 68 for k yields 
. Dividing both sides of this equation by 50 yields 
.
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.
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