Find the greatest possible number for which 30\% of that number is less than 100.
(a)325
(b)328
(c)331
(d)333
(e)335
Answer
Answer (as printed): D
Explanation
Let the required number be $x$. Then, $30 \%$ of $x$ $$<100 \Rightarrow \frac{30}{100} x<100 \Rightarrow x<\frac{1000}{3} \Rightarrow x<333.33 .$$ Hence, greatest possible value of $x=333$.
Explanation as extracted from the printed page; notation may be imperfect.