The sum of two numbers is $2490$. If $6.5\%$ of one number is equal to $8.5\%$ of the other,then the numbers are:

Two numbers $A$ and $B$ are such that the sum of $5 \%$ of $A$ and $4 \%$ of $B$ is $\frac{2}{3}$ of the sum of $6 \%$ of $A$ and $8 \%$ of $B$. The ratio $A:B$ is

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?

The population of Delhi two years ago was $55000$. It increased by $12 \%$ in the first year and decreased by $15 \%$ in the second year. What was the population of the town at the end of $2$ years?

How many students passed in first class?
Statements:
$I$. $85 \%$ of the students who appeared in the examination have passed either in first class,second class,or pass class.
$II$. $750$ students have passed in second class.
$III$. The number of students who passed in pass class is $28 \%$ of those who passed in second class.

If the price of apples goes down by $10 \%,$ find the percentage of increase that a family should effect in its consumption so as not to increase expenditure on this account.