SAT Math Multiple Choice Practice Question 459: Answer and Explanation

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Question: 459

21. If 0.1% of m is equal to 10% of n, then m is what percent of 10n ?

A.
B. 1%
C. 10%
D. 100%
E. 1,000%

Correct Answer: E

Explanation:

E Plug In values for m and n and use translation to solve this percent problem. You're working with a small percent, so plug in a big number for m. Let's say m = 2,000. 0.1% of . Therefore, 10% of n is 2; rewrite this as . Solving for n, you get n = 20. Now translate the rest of the problem: m is what percent of 10n can be written as . Solving for x, you get x = 1,000, so the answer is 1,000%.

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