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4 percent of s is equal to 3 percent of t, where

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4 percent of s is equal to 3 percent of t, where [#permalink] New post   21 Nov 2017, 12:53
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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.
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B
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simon1994
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   24 Nov 2017, 06:17
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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?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   26 Nov 2017, 01:58
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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

B is the answer
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rizary
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   26 Sep 2018, 15:02
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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?
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eimsav
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   28 Sep 2018, 03:40
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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

A is the answer


Dude, are you crazy? Insert 100 into s, multiply by 4% you get 4. Now 4/0.03 is equal to 133.33...
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mrr0821
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   29 Sep 2018, 04:15
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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

A is the answer


4 * s = 3 * t for the RHS to be equal to the LHS isn't it obvious that t must be greater than s?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   29 Sep 2018, 04:49
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You guys are correct! \(s<t\)

\(4s=3t\) or \(\frac{4}{3}s=t\).

I have modified the explanation above.

Thanks and Regards,
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Farina
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   14 Aug 2020, 05:08
If we put random numbers in s and t the answer would be D. By solving it via Algebraic method "t" is greater but by testing numbers it is not. Any comment on this please?
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Ojas3009
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   30 Aug 2020, 12:37
cant this question have option d as its answer choice ?
as after solving we get 4s =3t , and s and t both are >0
so if i take dummy data for s=2 and t-4 we get B is greater
and if take s =3 and t=4 we get both equal ?
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   08 Jan 2021, 09:30
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Let's think that,

4s = 3t

or, \(\frac{s}{t} = \frac{3}{4}\)

If s is 3, then t is 4, again s is 9 then t is 12, therefore, t is always greater than s
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Re: 4 percent of s is equal to 3 percent of t, where [#permalink] New post   20 Jul 2022, 08:04
Hello from the GRE Prep Club BumpBot!

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