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:

In an election between two candidates,one got $55 \%$ of the total valid votes,and $20 \%$ of the total votes were invalid. If the total number of votes was $7500$,what was the number of valid votes that the other candidate received?

$65 \%$ of $? = 20 \%$ of $422.50$

If $A$'s income is $25 \%$ less than that of $B$,then how much per cent is $B$'s income more than that of $A$?

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 $,000$)?

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