The population of a town increases by $12 \%$ during the first year and decreases by $10 \%$ during the second year. If the present population is $50400$,what was it $2$ years ago?

The value of a machine is $Rs$ $6250$. It decreases by $10 \%$ during the first year,$20 \%$ during the second year,and $30 \%$ during the third year. What will be the value of the machine after $3$ years?

In an examination,a candidate obtains $25\%$ marks and fails by $45$ marks,while another candidate obtains $46\%$ marks and passes by $15$ marks. What are the passing marks?

$6 \frac{2}{3} \%$ expressed as a fraction in its lowest term is:

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 $,000$)?

When $40$ is subtracted from $30 \%$ of a number,the result is $50$. What is the value of the number?