The difference of two numbers is 20\% of the larger number. If the smaller number is 20, then the larger number is:
(a)25
(b)45
(c)50
(d)80
Answer
Answer (as printed): A
Explanation
Let the larger number be $x$. Then, $x-20=\frac{20}{100} x \Leftrightarrow x-\frac{1}{5} x=20$ $\Leftrightarrow \frac{4}{5} x=20 \Leftrightarrow x=\left(20 \times \frac{5}{4}\right)=25$.
Explanation as extracted from the printed page; notation may be imperfect.