# Ex.8.2 Q3 Compairing Quantities - NCERT Maths Class 7

## Question

Estimate what part of the figures is coloured and hence find the per cent which is coloured.

## Text Solution

**What is Known?**

The part of the figures which is coloured .

**What is Unknown?**

What part of the figures is coloured and also the per cent which is coloured.

**Reasoning:**

In this question first find the the total number of parts of the figure and then the coloured parts. The fraction of coloured part is obtained by dividing number of coloured part with total umber of parts.To find the percentage multiply the given fraction by \(100.\)

**Steps:**

(i) In this figure, one part out of four parts is coloured. So the fraction of coloured part is \(\begin{align}\frac{1}{4}\end{align}\). Convert the fraction into percentage by multiplying the fraction with \(100.\)

Percentage of coloured part

\[\begin{align}&= \frac{1}{4} \times 100 \\& = 25\% \\\end{align}\]

(ii) In this figure, three parts out of five parts are coloured. Hence the fraction of coloured parts is \(\begin{align}\frac{3}{5}\end{align}\)

Percentage of coloured part

\[\begin{align}&= \,\frac{3}{5} \times 100\\&= 60\%\end{align}\]

(iii) In this figure, three parts out of eight parts are coloured. Hence the fraction of coloured parts is\(\begin{align}\frac{3}{8}\end{align}\)

Percentage of coloured part

\[\begin{align}&= \frac{3}{8} \times 100\\&= 37.5\%\end{align}\]