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If w is 10 percent less than x, and y is 30 percent less th

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Carcass
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If w is 10 percent less than x, and y is 30 percent less th [#permalink] New post   25 Mar 2019, 08:03
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If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent less than xz?

(A) 10%

(B) 20%

(C) 37%

(D) 40%

(E) 100%
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C
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GreenlightTestPrep
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Re: If w is 10 percent less than x, and y is 30 percent less th [#permalink] New post   25 Mar 2019, 10:09
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Carcass wrote:
If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent less than xz?

(A) 10%
(B) 20%
(C) 37%
(D) 40%
(E) 100%


A quick approach is to find values that satisfy the given information.

w is 10 percent less than x
How about w = 9 and x = 10 [in other words, 9 is 10% less than 10]

y is 30 percent less than z
How about y = 7 and z = 10 [in other words, 7 is 30% less than 10]

wy is what percent less than xz?
wy = (9)(7) = 63
xz = (10)(10) = 100
The question becomes "63 is what percent less than 100?"

Answer: C [since 37% less than 100 is 63]

Cheers,
Brent
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saumrnjn
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Re: If w is 10 percent less than x, and y is 30 percent less th [#permalink] New post   19 Jun 2022, 18:59
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GreenlightTestPrep wrote:
Carcass wrote:
If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent less than xz?

(A) 10%
(B) 20%
(C) 37%
(D) 40%
(E) 100%


A quick approach is to find values that satisfy the given information.

w is 10 percent less than x
How about w = 9 and x = 10 [in other words, 9 is 10% less than 10]

y is 30 percent less than z
How about y = 7 and z = 10 [in other words, 7 is 30% less than 10]

wy is what percent less than xz?
wy = (9)(7) = 63
xz = (10)(10) = 100
The question becomes "63 is what percent less than 100?"

Answer: C [since 37% less than 100 is 63]

Cheers,
Brent



when i am taking w= 10 then x becomes 11
and lets say i take y= 10 or 20, then z becomes 13 or 26 respectively

if i take those values, i am getting a different ans,why?
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GreenlightTestPrep
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Re: If w is 10 percent less than x, and y is 30 percent less th [#permalink] New post   20 Jun 2022, 06:40
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saumrnjn wrote:
GreenlightTestPrep wrote:
Carcass wrote:
If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent less than xz?

(A) 10%
(B) 20%
(C) 37%
(D) 40%
(E) 100%


A quick approach is to find values that satisfy the given information.

w is 10 percent less than x
How about w = 9 and x = 10 [in other words, 9 is 10% less than 10]

y is 30 percent less than z
How about y = 7 and z = 10 [in other words, 7 is 30% less than 10]

wy is what percent less than xz?
wy = (9)(7) = 63
xz = (10)(10) = 100
The question becomes "63 is what percent less than 100?"

Answer: C [since 37% less than 100 is 63]

Cheers,
Brent



when i am taking w= 10 then x becomes 11
and lets say i take y= 10 or 20, then z becomes 13 or 26 respectively

if i take those values, i am getting a different ans,why?


Your values of w= 10 and x = 11 do not satisfy the condition that w is 10 percent less than x
While it's true that x (11) is 10% greater than w (10), it's not the case that w is 10% less than x.

I write about this common misconception in the following article: https://www.greenlighttestprep.com/node/1658
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gmatclubot
Re: If w is 10 percent less than x, and y is 30 percent less th [#permalink]
20 Jun 2022, 06:40
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