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Founder  Joined: 18 Apr 2015
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4 percent of s is equal to 3 percent of t, where [#permalink]
Expert's post 00:00

Question Stats: 68% (00:36) correct 31% (00:43) wrong based on 45 sessions

4 percent of $$s$$ is equal to 3 percent of $$t$$, where $$s > 0$$ and $$t > 0$$

 Quantity A Quantity B $$s$$ $$t$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________ Intern Joined: 01 Sep 2017
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]
2
KUDOS
Hi,

the question leads us to the following equation:

(4/1oo) *S = (3/100) *T

Multiplyng by 100 results in the following: 4S = 3T

Divide by 3 gives us: 4/3S =T

So here in my opinion the answer should clearly be B

Any other opinions here? Founder  Joined: 18 Apr 2015
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Kudos [?]: 1343  , given: 6316

Re: 4 percent of s is equal to 3 percent of t, where [#permalink]
1
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Expert's post
Explanation

translating word into math

$$0.04 * s = 0.03 * t$$

or $$4 * s = 3 * t$$

We do know from the stem that s and t and positive. No matter which number you do use: for instance 1 or 1/2 and substitute t will always > S

_________________ Intern Joined: 23 Sep 2018
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]
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hi when you see this, can we assume that when t is greater than s, then t > s. Or with this type of question, we cannot just insert random number? Intern Joined: 10 Sep 2018
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]
1
KUDOS
Carcass wrote:
Explanation

translating word into math

$$0.04 * s = 0.03 * t$$

or $$4 * s = 3 * t$$

We do know from the stem that s and t and positive. No matter which number you do use: for instance 1 or 1/2 and substitute S will always > t

Dude, are you crazy? Insert 100 into s, multiply by 4% you get 4. Now 4/0.03 is equal to 133.33... Intern Joined: 27 Nov 2014
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]
1
KUDOS
Carcass wrote:
Explanation

translating word into math

$$0.04 * s = 0.03 * t$$

or $$4 * s = 3 * t$$

We do know from the stem that s and t and positive. No matter which number you do use: for instance 1 or 1/2 and substitute S will always > t

4 * s = 3 * t for the RHS to be equal to the LHS isn't it obvious that t must be greater than s? GRE Prep Club Legend  Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]
1
KUDOS
Expert's post
You guys are correct! $$s<t$$

$$4s=3t$$ or $$\frac{4}{3}s=t$$.

I have modified the explanation above.

Thanks and Regards,
_________________

Sandy
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Try our free Online GRE Test Re: 4 percent of s is equal to 3 percent of t, where   [#permalink] 29 Sep 2018, 04:49
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