Question

Study the following charts carefully and answer the question given.
Cars of which colours are $20\%$ less popular than white coloured cars?

Answer 1

We have to find the colour of the car which is $20\%$ less popular than the white coloured car. The given chart is called a pie chart, the relative strength of each component is shown against a measure of the share of the pie a component occupies, so we can see that the pie’s white colour occupies the $26\%$ percent of the pie and other colours relative strength is also given in the chart. We will first find the value $20\%$ lesser than $26\%$ of white then see which colour is nearest to that value and those colours will be our answers. Note that the question asks ‘colours’ not ‘colour’.

Complete answer:
The white colour car occupies $26\%$ of the pie the question asks to find the cars which are $20\%$ less popular than this colour.
The $20\%$ of white’s share will be,
$\Rightarrow \dfrac{{20}}{{100}} \times 26$
$\Rightarrow 5.2\%$
So the $20\%$ less popular colours should be
$\Rightarrow 26 - 5.2$
$\Rightarrow 20.8\%$
We can see all the other cars in the pie chart given have values less than the $20.8\%$ and thus we can say all the colours of the cars are $20\%$ less popular than the white coloured car.

Note:
The chart given is a pie chart. The whole angle of a pie chart is equal to the complete angle of a circle which is ${360^ \circ }$. The central angle of any component is the angle of the pie occupied by a component. The central angle ($C.A.$ ) can be calculated using the formula:
$C.A. = \dfrac{P}{{100}} \times 360$,
Where $P$ is the percentage of pie occupied by a component.