If $24$ is deducted from $45 \%$ of a number,the result becomes $48$. What will be $\frac{3}{8}$ part of that number?

There is $1000 \, \text{litres}$ of milk in a pot. $100 \, \text{litres}$ of milk is taken out and the same amount of water is poured into it. Again, $200 \, \text{litres}$ of the mixture is taken out and the same amount of water is poured into it, and finally, $400 \, \text{litres}$ of the mixture is taken out and the same amount of water is poured into it. What is the amount of milk in the resulting mixture?

The ratio of two numbers is $3:5$. If both numbers are increased by $8$,the ratio becomes $13:18$. What is the sum of the two numbers?

Two numbers are in the ratio $2:3$. If $2$ is subtracted from the first and $2$ is added to the second,the ratio becomes $1:2$. The sum of the numbers is:

Find a fourth proportional to the numbers $60, 48, 30$.

If $1,000$ copies of a book of $25$ sheets require $50$ reams of paper,how much paper is required for $5,000$ copies of a book of $32$ sheets?