If y is 80 percent greater than x, then x is what percent less than y?
A. 20
B. 25
C. 33 1/3
D. 44 4/9
E. 80
The OA is D.
Could someone help me here? I need some help to solve this PS question. What is the equation that I should use?
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If y is 80 percent greater than x, then x is what percent
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GMATGuruNY
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Let x = 100.VJesus12 wrote:If y is 80 percent greater than x, then x is what percent less than y?
A. 20
B. 25
C. 33 1/3
D. 44 4/9
E. 80
Since y is 80% greater than x, y = 100 + (80/100)(100) = 180.
x is what percent less than y?
In other words:
What is the percent decrease from y=180 to x=100?
Percent decrease = Difference/Larger * 100 = (180-100)/180 * 100 = 4/9 * 100 = a bit less than 50%.
The correct answer is D.
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Vincen
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Hello vjesus12.
I would solve it as follows:
If x=100 then y=180. Therefore, the difference between x and y is 180-100=80.
Then the percent decrease is $$\frac{Difference}{Total}\cdot100\%\ =\ \frac{80}{180}\cdot100\ \%\ =\ \frac{4}{9}\cdot100\ \%\ \approx44.44\%$$ Hence, the correct answer is the option D.
I would solve it as follows:
If x=100 then y=180. Therefore, the difference between x and y is 180-100=80.
Then the percent decrease is $$\frac{Difference}{Total}\cdot100\%\ =\ \frac{80}{180}\cdot100\ \%\ =\ \frac{4}{9}\cdot100\ \%\ \approx44.44\%$$ Hence, the correct answer is the option D.
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Jeff@TargetTestPrep
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VJesus12 wrote:If y is 80 percent greater than x, then x is what percent less than y?
A. 20
B. 25
C. 33 1/3
D. 44 4/9
E. 80 /quote]
We can let y = 1.8x; thus:
(x - 1.8x)/1.8x * 100 = -0.8x/1.8x * 100 = -8/18 * 100 = -44 4/9 = 44 4/9 percent less
Answer: D
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