Due to an increase of $30 \%$ in the price of eggs,$3$ eggs less are available for $₹ 7.80$. The present rate of eggs per dozen is:

In an examination,$5 \%$ of the applicants were found ineligible and $85 \%$ of the eligible candidates belonged to the general category. If $4275$ eligible candidates belonged to other categories,then how many candidates applied for the examination?

$4598$ is $95 \%$ of what number?

Raman scored $456$ marks in an examination and Seeta got $54 \%$ marks in the same examination,which is $24$ marks less than Raman. If the minimum passing marks in the examination is $34 \%$,then how many more marks did Raman score than the minimum passing marks?

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 polled was $7500$,what was the number of valid votes that the other candidate received?

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: