After selling $5 \%$ of a quantity of sugar,$5 \text{ kg}$ of sugar remains. Find the total quantity of sugar in $\text{kg}$.

If the $CP$ of $13$ bats is $Rs. 390$,what is the selling price in $Rs.$ when it is sold at a $10 \%$ loss?

$A$ sells a good to $B$ at a profit of $10 \%$ and $B$ sells it to $C$ at a profit of $20 \%$. Find out the resultant profit percentage.

$A$ manufacturer undertakes to supply $2000$ pieces of a particular component at $Rs. 25$ per piece. According to his estimates,even if $5\%$ fail to pass the quality tests,he will make a profit of $25\%$. However,as it turned out,$50\%$ of the components were rejected. What is the loss to the manufacturer? (in $Rs.$)

$A$ person earns $15 \%$ on an investment but loses $10 \%$ on another investment. If the ratio of the two investments is $3:5$,what is the gain or loss percentage on the two investments taken together (in $\%$)?

Find $SP$ when $CP = Rs. 56.25$ and $\text{Gain} = 20\%$?