Question

The pie chart provided below gives the distribution of land (in a village) under various crops. Study the pie chart carefully and answer the questions that follow.
Q. If the total area goes up by 5% and the area under wheat production goes up by 12%, then what will be the angle for wheat in the pie chart?

• A. ${62.4}^{\circ }$
• B. ${76.8}^{\circ }$
• C. ${80.6}^{\circ }$
• D. ${84.2}^{\circ }$
• E. None of these

Answer 1

The correct option is B ${76.8}^{\circ }$

The area under wheat production was initially $=\frac{72}{360}\times 100=20\%$
If the area under wheat is increased by $12\%=20\times 1.12=22.4\%$
If the total area under consideration is increased by $5\%=105\%$ Wheat as a % of total $=\frac{22.4}{105}\times 100=21.33\%$
Corresponding angle should be $=21\frac{1}{3}\times \frac{360}{100}={76.8}^{\circ }$