If $35 \%$ of a number is $12$ less than $50 \%$ of that number,then the number is:

The population of a town is decreased by $20 \%$ and $25 \%$ in two successive years. What per cent population is decreased after two years?

$405$ toffees were distributed equally among children in such a way that the number of toffees received by each child is $20 \%$ of the total number of children. How many toffees did each child get?

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?

$A$ 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?

The value of a machine depreciates at the rate of $10 \%$ every year. It was purchased $3$ years ago. If its present value is $₹ 8748$,its purchase price was: