Question

The preference of protein shakes obtained for 100 kids in a survey is given below.
The kids preferring horlicks are ______ of the kids preferring Bournvita.

• A. one fourth
• B. half
• C. twice
• D. one third

Answer 1

The correct option is B half

The proportion of kids preferring Horlicks = Area or central angle covered by Horlicks in pie-chart,

and, the proportion of kids preferring Bournvita = Area or central angle covered by Bournvita in pie-chart.

From the pie-chart, we see that quarter of the area of circle (or ${90}^{\circ }$) is covered by horlicks and half of the area of circle (or ${180}^{\circ }$) is covered by bournvita.

Thus,
$\frac{\text{Proportion of kids preferring Horlicks}}{\text{Proportion of kids preferring Bournvita}}=\frac{\text{Area or central angle covered by Horlicks}}{\text{Area or central angle covered by Bournvita}}=\frac{\frac{1}{4}}{\frac{1}{2}}\text{or}\frac{{90}^{\circ }}{{180}^{\circ }}=\frac{1}{2}$