In a test, minimum passing percentage for girls and boys is 35\% and 40\% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls?
(a)425
(b)500
(c)520
(d)625
(e)None of these
Answer
Answer (as printed): E
Explanation
Let the maximum marks be $x$. Then, $40 \%$ of $x=483+117$ $$\Rightarrow \quad \frac{40 x}{100}=600 \Rightarrow x=\left(\frac{600 \times 100}{40}\right)=1500 .$$ ∴ Minimum passing marks for girls = 35\% of 1500 $$=\left(\frac{35}{100} \times 1500\right)=525 .$$
Explanation as extracted from the printed page; notation may be imperfect.