Question

The pie chart provided below gives the distribution of land in a village under various food crops. Which combination of three crops contribute to 50% of the total area under the food crops ? 

• A. Wheat, Barley and Jowar
• B. Rice, Wheat and Jowar
• C. Rice, Wheat and Barley
• D. Bajra, Maize and Rice

Hint:

Remember that the angles in a pie chart are proportional to the values they represent. To find the percentage contribution, divide the angle of each sector by the total angle (\(360^\circ\)) and multiply by 100%.

Answer 1

The Correct Option is C

Step 1: Understand that the total angle in a pie chart represents 100\%.
The total angle in a pie chart is \( 360^\circ \), which corresponds to 100\% of the area. Step 2: Determine the percentage represented by each crop.
To find the percentage of the total area contributed by each crop, we can use the formula:
Percentage = \( \frac{\text{Angle of the sector}}{360^\circ} \times 100\% \) Rice: \( \frac{72^\circ}{360^\circ} \times 100\% = \frac{1}{5} \times 100\% = 20\% \)
Wheat: \( \frac{72^\circ}{360^\circ} \times 100\% = \frac{1}{5} \times 100\% = 20\% \)
Barley: \( \frac{36^\circ}{360^\circ} \times 100\% = \frac{1}{10} \times 100\% = 10\% \)
Jowar: \( \frac{18^\circ}{360^\circ} \times 100\% = \frac{1}{20} \times 100\% = 5\% \)
Bajra: \( \frac{18^\circ}{360^\circ} \times 100\% = \frac{1}{20} \times 100\% = 5\% \)
Maize: \( \frac{45^\circ}{360^\circ} \times 100\% = \frac{1}{8} \times 100\% = 12.5\% \)
Others: \( \frac{99^\circ}{360^\circ} \times 100\% = \frac{11}{40} \times 100\% = 27.5\% \)
Step 3: Check the combinations of three crops to see which one contributes to 50\% of the total area.
(1) Wheat, Barley and Jowar: \( 20\% + 10\% + 5\% = 35\% \) (Not 50\%)
(2) Rice, Wheat and Jowar: \( 20\% + 20\% + 5\% = 45\% \) (Not 50\%)
(3) Rice, Wheat and Barley: \( 20\% + 20\% + 10\% = 50\% \) (Equals 50\%)
(4) Bajra, Maize and Rice: \( 5\% + 12.5\% + 20\% = 37.5\% \) (Not 50\%)
Step 4: Identify the combination that contributes to 50\% of the total area.
The combination of Rice, Wheat, and Barley contributes to 50\% of the total area under food crops.