In a competitive examination in state $A$,$6\%$ of the total candidates who appeared were selected. State $B$ had an equal number of candidates who appeared,and $7\%$ of the candidates were selected,which resulted in $80$ more candidates being selected than in state $A$. What was the number of candidates who appeared from each state?

In an examination,a student must get $36 \%$ marks to pass. $A$ student who gets $190$ marks failed by $35$ marks. The total marks in that examination is

The population of a town increases $4 \%$ annually but is decreased by emigration annually to the extent of $(1/2) \%$. What will be the increase per cent in $3$ years?

In a gram panchayat meeting,$1000$ people voted on a resolution with $10 \%$ of the votes being invalid. After some discussion,$1000$ people voted again. This time there were $20 \%$ invalid votes. The opponents were increased by $50 \%$ while the motion was now rejected by a majority,which is $300 \%$ more than it was formerly passed by. How many people voted against the resolution before the discussion?

In a fraction,the numerator is increased by $25 \%$ and the denominator is diminished by $10 \%$. The new fraction obtained is $\frac{5}{9}$. The original fraction is:

The first and second numbers are less than a third number by $30 \%$ and $37 \%$,respectively. The second number is less than the first by: (in $\%$)