Two-thirds of three-fourths of one-fifth of a number is $15$. What is $30$ per cent of that number?

For a rectangle,the length and breadth are increased by $10 \%$ and $20 \%$,respectively. The percentage increase in area is:

In an examination,it is required to get $35 \%$ of the aggregate marks to pass. Rishu got $216$ marks and was declared failed by $5 \%$ marks. What was the total marks?

If the numerator of a fraction is increased by $150 \%$ and the denominator of the fraction is increased by $350 \%,$ the resultant fraction is $\frac{25}{51},$ what is the original fraction?

$6 \frac{2}{3} \%$ expressed as a fraction in its lowest term is:

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: