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John spent $25, which is 15 percent of his monthly wage...

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by EconomistGMATTutor » Sat Nov 25, 2017 8:48 am
John spent $25, which is 15 percent of his monthly wage. What is his monthly wage?

(A) $80
(B) $166 2/3
(C) $225
(D) $312.5
(E) $375

The OA is B.

Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.
Hi swerve,
Let's take a look at your question.

Let John's monthly wage is '$x'.
15 percent of John's monthly wage is $25, it can be represented as:
$$\left(x\right)\left(15\%\right)=25$$
$$\left(x\right)\left(\frac{15}{100}\right)=25$$
$$x=25\times\frac{100}{15}$$
$$x=5\times\frac{100}{3}$$
$$x=\frac{500}{3}=166\ \frac{2}{3}$$

Therefore, Option B is correct.

Hope it helps.
I am available if you'd like any follow up.
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by Scott@TargetTestPrep » Fri Dec 15, 2017 5:55 am
swerve wrote:John spent $25, which is 15 percent of his monthly wage. What is his monthly wage?

(A) $80
(B) $166 2/3
(C) $225
(D) $312.5
(E) $375
If we let w = John's monthly wage, we can create the following equation:

25 = 0.15w

25/0.15 = w

166 2/3 = w

Answer: B

Scott Woodbury-Stewart
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