If a certain factory has filled 120 orders, then what percent of the total number of orders has been filled? I. The total number of orders on file is 300. II. The number of orders that the factory has already filled represents two-fifths of the total number of orders.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
From I, we have $$\text { Required percentage }=\left(\frac{120}{300} \times 100\right) \%=40 \% .$$ Thus, I alone gives the answer. From II, we have: Required percentage $$=\left(\frac{2}{5} x \times \frac{1}{x} \times 100\right) \%=40 \% .$$ So, I alone as well as II alone gives the answer. ∴ Correct answer is (c).
Explanation as extracted from the printed page; notation may be imperfect.