# Ex.8.1 Q2 Comparing Quantities - NCERT Maths Class 8

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## Question

Convert the following ratios to percentages

(i) $$3:4$$

(ii) $$2:3$$

Video Solution
Comparing Quantities
Ex 8.1 | Question 2

## Text Solution

What is known?

Ratios

What is unknown?

Percentages of given ratios

Reasoning:

A ratio is a comparison of any two quantities by division. A percent is a special ratio that compares any quantity to $$100,$$ with $$100$$ representing one whole.

Steps:

(i) $$3:4$$

Given data: $$3:4$$

\begin{align}\frac{3}{{4}}&{ \times 100}\\&= 3 \times 25\\&= 75\%\end{align}

The answer is  $$75\%$$

(ii) $$2:3$$

Given data: $$2:3$$

Type 1: Decimal Form

\begin{align}\frac{2}{3} &\times 100\\&= 2 \times 33.33\\&= 66.67\% \end{align}

The answer is $$66.67\%$$ (Decimal form)

Type 2: Fractions Form

\begin{align}\frac{{{2 \times 100}}}{{3}}&= \frac{{{200}}}{{3}}\\& = 66\frac{{2}}{{3}}{\% }\end{align}

The answer is \begin{align}{66}\frac{{2}}{{3}}\% \end{align} (Mixed fraction form)

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