Ratio and its Types

The population of a village is $7540$ . The ratio of illiterates to literates is $8:5$. Find the number of both the literates and illiterates.

By giving one example show that ratio has no units.

By showing that ratio does not have unit, find the ratio of $40\text{cm to }1.5\text{m}$.

Distances travelled by Hari and Abhi in an hour are $3$ km and $6$ km. Find the ratio of speed of Hari to the speed of Abhi by showing that ratio does not have unit.

If the compound ratio of $5:8$ and $3:7$ is $45:x$. Find the value of $x$.

If the compound ratio of $7:5$ and $8:x$ is $84:60$. Find $x$.

If $a, b, c, d$ are in continued proportion, then $\left(a^2-b^2\right)\left(c^2-d^2\right)=$

If $\frac{x+y}{ax+by}=\frac{y+z}{ay+bz}=\frac{z+x}{az+bx} \& \left(x+y+z\right)\ne 0$, then each ratio is equal to $\frac{k}{a+b}$, where the value of $k=$_____.

What quantity must be subtracted from each term of the ratio $9:17$ to make it equal to $1:3$?

What is the compounded ratio of $10:30$ and $60:80$

Which is greater, $9:25$ or $8:23$?

Express $12$ hours to $1.5$ days in the simplest form.

Which is greater, $5:8$ or $7:9$?

A fraction greater than $\sqrt{2}$ and less than $\sqrt{3}$ is 

If $\mathrm{A}:\mathrm{B}=3:4$ and $\mathrm{B}:\mathrm{C}=6:7$ find $\mathrm{A}:\mathrm{B}:\mathrm{C}$.

The compound ratio of $2a:3b, mn:x^2$ and $x:n$ is

Find the compound ratio of  $\sqrt{2}:1, 3:\sqrt{5}$ and $\sqrt{20}:9.$

What is the compounded ratio of $6\frac{1}{2}: 8\frac{2}{3}$ and $3\frac{3}{4}:5\frac{1}{3}$

Find the compound ratio of $4:5$ and $4:5$

Two numbers are in the ratio $5:6$. If the sum of the numbers is $132$, find the two numbers.