Question

The ratio of $8$ books to $20$ books is

• A. $2:5$
• B. $5:2$
• C. $4:5$
• D. $5:4$

Answer 1

The correct option is A

$2:5$

Step 1: Ratio

1. The comparison or simplified form of two quantities of the same kind is referred to as a ratio.
2. The sign used to denote a ratio is “$:$”.
3. The ratio can be represented in three different form, such as:
   a. $a$ to $b$
   b. $a:b$
   c. $\frac{a}{b}$

Step 2: Explanation for correct option

Option (a): $2:5$

Find the ratio of $8$ books to $20$ books:

Ratio of $8$ books to $20$ books $=\frac{8}{20}$
Divide both numerator and denominator by $4$.

$\Rightarrow \frac{8}{20}=\frac{8÷4}{20÷4}$

$\Rightarrow \frac{8}{20}=\frac{2}{5}$

Therefore, the ratio of $8$ books to $20$ books is $2:5$.

Therefore, option (a) is the correct answer.

Step 3: Explanation for incorrect option

Option (b): $5:2$

Option (c): $4:5$

Option (d): $5:4$

Calculating the ratio of $8$ books to $20$ books, we get $2:5$.

Therefore, options (b), (c) and (d) are incorrect answers.

Hence, option (a) is the correct answer.