The monthly income of a person is $Rs. 5000$. If his income is increased by $30\%$,then what is his monthly income now?

In an examination,there were $2000$ candidates,out of which $900$ candidates were boys and the rest were girls. If $32 \%$ of the boys and $38 \%$ of the girls passed,then the total percentage of failed candidates is:

If $x$ $\%$ of $y$ is $100$ and $y$ $\%$ of $z$ is $200,$ then find a relation between $x$ and $z$.

$A$ sum of $₹ 731$ is distributed among $A$,$B$,and $C$,such that $A$ receives $25\%$ more than $B$ and $B$ receives $25\%$ less than $C$. What is $C$'s share in the amount?

Aditya has some amount,out of which $25 \%$ is stolen,$10 \%$ he gave to his friend,$50 \%$ of the remainder is spent on a party,and the rest $Rs. 26$ he gave to his mother. What was his initial amount?

$A$ speaks truth in $80 \%$ of the cases and $B$ in $90 \%$ of the cases. Find the percentage when they contradict each other in describing the same facts. (in $\%$)