When the price of an article is reduced by $15 \%$,the sales increase by $35 \%$. The percentage change in the total amount of receipts is:

In an examination,$30 \%$ and $35 \%$ students respectively failed in History and Geography while $27 \%$ students failed in both the subjects. If the number of students passing the examination is $248$,find the total number of students who appeared in the examination.

The cost price of goods of a bankrupt is $Rs. 25500$. If the goods had been realised at their full value,his creditors would have received $85$ paise in the rupee. But $2/5$ of the goods were sold at $17\%$ below their cost price and the remainder at $22\%$ below their cost price. How many paise in a rupee was received by the creditors?

If in an examination $20 \%$ students failed in Hindi,$25 \%$ failed in English,and $7 \%$ failed in both subjects,then what is the percentage of students who failed in at least one of the subjects (in $\%$)?

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?

If $75 \%$ of a number is added to $75$,the result is the number itself. The number is: