In an examination,it is required to get $256$ of the total maximum aggregate marks to pass. $A$ student gets $192$ marks and is declared failed. The difference between the marks obtained by the student and the marks required to pass is $10 \%$. What are the maximum aggregate marks a student can get?

If $25 \%$ of a number is subtracted from a second number,the second number reduces to its five-sixths. What is the ratio of the first number to the second number?

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

In a test,the minimum passing percentage for girls and boys is $35 \%$ and $40 \%$ respectively. $A$ boy scored $483$ marks and failed by $117$ marks. What are the minimum passing marks for girls?

In an election between two candidates,one got $52 \%$ of the total valid votes. $25 \%$ of the total votes were invalid. The total number of votes were $8400$. How many valid votes did the other person get?