In an examination $X$ secures 58\% marks and $Y$ secures 105 marks less than $X$. If the maximum marks were 700, then what percent of marks did $Y$ secure?
(a)42 percent
(b)43 percent
(c)52 percent
(d)None of these
Answer
Answer (as printed): B
Explanation
Marks secured by $X=58 \%$ of $700=\left(\frac{58}{100} \times 700\right)=406$. Marks secured by $Y=(406-105)=301$. $$\text { ∴ } \text { Required percentage }=\left(\frac{301}{700} \times 100\right) \%=43 \% .$$
Explanation as extracted from the printed page; notation may be imperfect.