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For numbers x, y, z, and w, if x is 50% greater than y, and z is 20%

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Bunuel
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For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   22 Jul 2018, 23:26
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A
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D
E

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35% (medium)

Question Stats:

73% (01:56) correct 27% (02:04) wrong based on 88 sessions
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For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater
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D
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D
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   22 Jul 2018, 23:49
Bunuel wrote:
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater



let assume the value:

w=100

x=150

y=100

z=120

1. x/y = 150/100 = 3/2

2. z / w = 120 /100 = 6/5

Difference = 3/2 -6/5 = 3/10

Required % = (3/10 ) / (6/5)

= 1/ 4 ~ 25%.

The best answer is D.
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   23 Jul 2018, 04:50
Bunuel wrote:
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater


x=1.5y
z=1.2w

x/y=1.5y/y=15/10
z/w=12/10

%greater = (0.3)*100/1.2 =25%
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   23 Jul 2018, 07:01
How do you decide what goes in the denominator in such %(change) questions?

Why is the answer not 0.3/1.5 x 100 = 20% increase?
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   23 Jul 2018, 07:14
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sandman13 wrote:
How do you decide what goes in the denominator in such %(change) questions?

Why is the answer not 0.3/1.5 x 100 = 20% increase?


Put in the denominator the value you are comparing to. For example: what percent is 10 greater than 8? (10 - 8)/8*100 = 0.25
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   23 Jul 2018, 09:43
sandman13 wrote:
How do you decide what goes in the denominator in such %(change) questions?

Why is the answer not 0.3/1.5 x 100 = 20% increase?


The question itself makes it clear that x/y is greater.
Profit % is normally calculated over cp(cost price,unless specifically stated in the question), similarly loss percent over selling price.
Just have to figure out which one is what.

Posted from my mobile device
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   23 Jul 2018, 12:52
Bunuel wrote:
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater


x/y=1.5/1
z/w=1.2/1
1.5/1.2=1.25
25%
D
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   25 Jul 2018, 17:31
Expert Reply
Bunuel wrote:
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, x/y is what percent greater or less than z/w ?

(A) 25 % less
(B) 20 % less
(C) 20 % greater
(D) 25 % greater
(E) 50 % greater


We can create the equations:

x = 1.5y

x/y = 1.5

and

z = 1.2w

z/w = 1.2

So we have:

(1.5 - 1.2)/1.2 x 100

0.3/1.2 x 100

3/12 x 100 = 25%

Answer: D
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink] New post   04 Jan 2022, 06:00
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Re: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% [#permalink]
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