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If xy different from zero, and 75 percent of $x$ equals 125 percent
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16 Jan 2026, 03:17
16 Jan 2026, 03:17
Expert Reply
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If $\(x y \neq 0\)$, and 75 percent of $x$ equals 125 percent of $y$, which of the following is true?
A. y is 25 percent of x
B. y is 40 percent of x
C. y is 60 percent of x
D. y is 140 percent of x
E. $y$ is $\(166 \frac{2}{3}\)$ percent of $x$
A. y is 25 percent of x
B. y is 40 percent of x
C. y is 60 percent of x
D. y is 140 percent of x
E. $y$ is $\(166 \frac{2}{3}\)$ percent of $x$
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
If xy different from zero, and 75 percent of $x$ equals 125 percent
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31 Jan 2026, 13:14
31 Jan 2026, 13:14
Expert Reply
To solve this, we translate the words into an algebraic equation. Remember that "percent" means "per 100" and "of" means "multiplication."
Step 1: Write the equation
$$
\(0.75 x=1.25 y\)
$$
Step 2: Isolate $y$ Since the question asks what percent $y$ is of $x$, we need to solve the equation for $y$ :
$$
\(y=\frac{0.75 x}{1.25}\)
$$
Step 3: Simplify the fraction To make the division easier, multiply both the numerator and denominator by 100 to remove the decimals:
$$
\(y=\frac{75}{125} x\)
$$
Now, simplify by dividing both numbers by their greatest common factor, which is 25 :
$$
\(y=\frac{3}{5} x\)
$$
Step 4: Convert to a percentage Convert the fraction $\(\frac{3}{5}\)$ into a decimal or a percentage:
$$
\(\frac{3}{5}=0.60=60\) %
$$
Therefore, $\(y=60\) %$ of $x$.
Step 1: Write the equation
$$
\(0.75 x=1.25 y\)
$$
Step 2: Isolate $y$ Since the question asks what percent $y$ is of $x$, we need to solve the equation for $y$ :
$$
\(y=\frac{0.75 x}{1.25}\)
$$
Step 3: Simplify the fraction To make the division easier, multiply both the numerator and denominator by 100 to remove the decimals:
$$
\(y=\frac{75}{125} x\)
$$
Now, simplify by dividing both numbers by their greatest common factor, which is 25 :
$$
\(y=\frac{3}{5} x\)
$$
Step 4: Convert to a percentage Convert the fraction $\(\frac{3}{5}\)$ into a decimal or a percentage:
$$
\(\frac{3}{5}=0.60=60\) %
$$
Therefore, $\(y=60\) %$ of $x$.
gmatclubot
If xy different from zero, and 75 percent of $x$ equals 125 percent [#permalink]
31 Jan 2026, 13:14
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