Aman obtained $410$ marks out of $500$ in CBSE $\mathrm{XII}$ examination while his brother Anish gets $536$ marks out of $600$ in $\mathrm{IX}$class examination. Find whose performance is better?

Rahim obtained $60$ marks out of $75$ in Mathematics. If the percentage of marks obtained by Rahim in Mathematics is $k\%$. Then find $k$.

In an examination, $8\%$ of the students fail. What percentage of the students pass$?$ If $1650$ students appeared in the examination, how many passed$?$

In an examination $92\%$ of the candidates passed and $46$ failed. How many candidates appeared$?$