Two numbers are in the ratio $1: 2$. If $7$ is added to both,the ratio changes to $3: 5$. The greatest number is:

The ratio of incomes of $P$ and $Q$ is $3:4$ and the ratio of their expenditures is $2:3$. If both of them save $Rs. 6000$,the total income of $P$ is (in $Rs.$):

$A$ bag contains $10$-paise and $25$-paise coins in the ratio of $17:6$. If the total money in the bag is $Rs. 112$,the number of $10$-paise coins is:

Three numbers are in the ratio $2:5:7$. The sum of the smallest and largest numbers equals the sum of the second number and $16$. What is the smallest number?

Out of the number of qualified candidates from State $P$ in $2008,$ the respective ratio of male and female candidates is $11: 7.$ If the number of female qualified candidates from State $P$ in $2008$ is $126,$ what is the total number of qualified candidates (both male and female) from State $P$ in $2008?$

If $24$ is deducted from $45 \%$ of a number,the result becomes $48$. What will be $\frac{3}{8}$ part of that number?