Two numbers are respectively $12 \frac{1}{2} \%$ and $25 \%$ more than a third number. The first number as a percentage of the second number is
(a)50
(b)60
(c)75
(d)90
Answer
Answer (as printed): D
Explanation
Let third number be $x$. Then, first number $=112 \frac{1}{2} \%$ of $x=\frac{9 x}{8}$; Second number $=125 \%$ of $x=\frac{5}{4} x$. $$\therefore \quad \text { Required percentage }=\left(\frac{9 x}{8} \times \frac{4}{5 x} \times 100\right) \%=90 \% .$$
Explanation as extracted from the printed page; notation may be imperfect.