What percentage is equivalent to $5 \frac{1}{4}$?

Five-ninths of a number is equal to $25$ per cent of the second number. The second number is equal to one-fourth of the third number. The value of the third number is $2960$. What is $30$ per cent of the first number?

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

If $10 \%$ of $x$ is $3$ times $15 \%$ of $y,$ then find $x: y.$

$A$ number is decreased by $10 \%$ and then increased by $10 \%$. The number so obtained is $10$ less than the original number. What was the original number?

One type of liquid contains $20 \%$ water and the second type of liquid contains $35 \%$ water. $A$ glass is filled with $10$ parts of the first liquid and $4$ parts of the second liquid. What is the percentage of water in the new mixture in the glass?