Question

The pie chart shows the number of fruits sold in a store. Given that the number of apples is 180 and number of oranges is 400, what is the number of pears sold in the fruit store?

• A. 60
• B. 70
• C. 140
• D. 200

Answer 1

The correct option is C

140

The angle made by the sector representing apples on the centre of the circle is ${90}^{\circ }$.
This angle is made by 180 apples or 180 units.
180 units subtends an angle of ${90}^{\circ }$.
$\therefore$ 400 units will subtend an angle of $\frac{{90}^{\circ }}{180}\times 400={200}^{\circ }$
Thus the angle made by the sector representing oranges on the centre of the circle is ${200}^{\circ }$.
Total angle subtended at the centre of the circle is ${360}^{\circ }$.
$\because$ angle subtended by the sector representing pears at the centre of the circle $=x^{\circ }$
${90}^{\circ }+{200}^{\circ }+x^{\circ }={360}^{\circ }$
$x^{\circ }={70}^{\circ }$
$\therefore$ Angle subtended by the sector representing pears is ${70}^{\circ }$.
As ${200}^{\circ }$ equals 400 units,
$\Rightarrow$ ${70}^{\circ }$ equals $\frac{400}{200}\times 70=140units$
$\therefore$ Number of pears sold at the fruit store $=140$