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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]  21 Nov 2017, 12:53
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Question Stats:

65% (00:37) correct 34% (00:37) wrong based on 35 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

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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]  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]  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

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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]  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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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]  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

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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Re: 4 percent of s is equal to 3 percent of t, where [#permalink]  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

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]  29 Sep 2018, 04:49
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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,
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Re: 4 percent of s is equal to 3 percent of t, where   [#permalink] 29 Sep 2018, 04:49
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