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.
John spent $25, which is 15 percent of his monthly wage...
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- EconomistGMATTutor
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Hi swerve,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) $375
The OA is B.
Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.
Let's take a look at your question.
Let John's monthly wage is '$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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If we let w = John's monthly wage, we can create the following equation: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
25 = 0.15w
25/0.15 = w
166 2/3 = w
Answer: B
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