$23 \% \text{ of } 6783 + 57 \% \text{ of } 8431 = ?$

$A$ village lost $12 \%$ of its goats in a flood and $5 \%$ of the remainder died from diseases. If the number left now is $8360$,what was the original number before the flood?

In the month of January,the Railway Police caught $4,000$ ticketless travellers. In February,the number rose by $5\%$. However,due to constant vigil by the Police and the Railway staff,the number reduced by $5\%$ in March and in April it further reduced by $10\%$. The total number of ticketless travellers caught in the month of April was:

$A$ student secures $90\%$,$60\%$ and $54\%$ marks in test papers with $100$,$150$ and $200$ respectively as maximum marks. The percentage of his aggregate is:

Suman's project report on 'Development with dignity',consists of $25$ pages,each with $60$ lines and $75$ characters per line. If the number of lines is reduced to $55$ but the number of characters per line is increased to $90$,what is the percentage change in the number of pages? (Assume the number of pages to be a whole number.)

In a certain quantity of ghee, $60 \%$ is pure ghee and $40 \%$ is vanaspati. If $10 \text{ kg}$ of pure ghee is added, the concentration of vanaspati ghee becomes $20 \%$. What was the original quantity (in $\text{ kg}$)?