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28 Sep 2017, 01:44
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
91% (00:53) correct
9%
(00:46)
wrong
based on 69
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The percent change from 50 to 52 is NOT equivalent to the percent change from
A. 500 to 520
B. 200 to 208
C. 100 to 104
D. 25 to 26
E. 10 to 12
A. 500 to 520
B. 200 to 208
C. 100 to 104
D. 25 to 26
E. 10 to 12
28 Sep 2017, 01:55
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The percent change from 50 to 52 is NOT equivalent to the percent change from ?
% change from 50 to 52 = (52-50)/50 * 100 = 4% increase
A. 500 to 520 => 20/500 * 100 = 4%
B. 200 to 208 => 8/200* 100 = 4
C. 100 to 104 => 4/100* 100 = 4
D. 25 to 26 => 1/25* 100 = 4
E. 10 to 12 => 2/10 * 100 = 20
Answer: E
% change from 50 to 52 = (52-50)/50 * 100 = 4% increase
A. 500 to 520 => 20/500 * 100 = 4%
B. 200 to 208 => 8/200* 100 = 4
C. 100 to 104 => 4/100* 100 = 4
D. 25 to 26 => 1/25* 100 = 4
E. 10 to 12 => 2/10 * 100 = 20
Answer: E
28 Sep 2017, 10:38
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Bunuel
30-second way, no long division, no calculating percent change: Use a multiplier or compare fractions. These answers' numbers are easy.
This question is about equivalent ratios, too. For percent change to be equivalent, the ratio of (A:B) in the answers must be identical to ratio of 50:52.
Choose the easiest: multipliers, divisors, or fraction comparison (\(\frac{50}{52}\) compared to \(\frac{A}{B}\))
A) 500 to 520:
50 * 10 = 500
52 * 10 = 520
Same multiplier. Ratio holds. Equivalent percent change. EQUIVALENT
B. 200 to 208:
50 * 4 = 200. 52 * 4? 208. EQUIVALENT
C. 100 to 104
50 * 2 = 100. 52 * 2? 104. EQUIVALENT
D. 25 to 26
\(\frac{50}{2}\) = 25. \(\frac{52}{2}\)? 26. EQUIVALENT
E. 10 to 12:
By POE this is the answer.
10 * 5 = 50. 12 * 5?
12 * 5 = 60, and \(60\neq{52}\).
Ratios are not equivalent. Hence percent change is NOT EQUIVALENT.*
ANSWER E
*If in doubt, do the math for just this answer.
Percent change from 50 to 52?
\(\frac{52-50}{50} = \frac{2}{50}\) = .04 * 100 = 4%
Percent change from 10 to 12?
\(\frac{2}{10}\) = .20 * 100 = 20%
