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

If $10 \%$ of $x$ is $3$ times $15 \%$ of $y,$ then find $x: y.$

The population of a town increased from $1,75,000$ to $2,62,500$ in a decade. The average per cent increase of population per year is

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:

If an electricity bill is paid before the due date,one gets a reduction of $4 \%$ on the amount of the bill. By paying the bill before the due date,a person got a reduction of $₹ 13$. The amount of his electricity bill was:

Mr $X$ invested a certain amount in Debt and Equity Funds in the ratio of $4:5$. At the end of one year,he earned a total dividend of $30\%$ on his investment. After one year,he reinvested the amount including the dividend in the ratio of $6:7$ in Debt and Equity Funds. If the amount reinvested in Equity Funds was $Rs$ $94,500$,what was the original amount invested in Equity Funds (in $,000$)?