If $25 \%$ of a number is $6$,what is the number that is $50 \%$ more than the initial number?

$A$ person scores $45 \%$ of the total marks in the exam and still fails by $40$ marks. The passing percentage of the exam is $55 \%$. What is the maximum marks of the exam?

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

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

The price of a certain article is $Rs. 15000$. Due to a slump in the market, its price decreases by $8 \%$. Find the new price of the article.

$A$ set $A$ consists of integers $27, 28, 30, 32$ and $33$. If an integer $K$ is included,the average of set $A$ will increase by $30\%$. What is the value of integer $K$?