Question

The annual budget for a state in 2021 was as shown by the pie chart. If the total budget was decreased by 5% in the year 2022, find the angle made by the budget allocated for education in the new pie chart. (The fraction of budget allocated to each sector remains the same in 2022 )


\begin{tabular}{|ll} \hline \( 23 \% \) & Infrastructure \\ \( 25 \% \) & Education \\ \( 42 \% \) & Healthcare \\ Agriculture \end{tabular}

• A. 90°
• B. 85.5°
• C. 105°
• D. 94.5°

Answer 1

The correct option is A 90°

5% decrease is made in the total annual budget from 2021 to 2022.

Now, this does not change the fraction of the budget that is allocated to each sector.

Hence, in 2022:

23% of the total budget is used for developing agriculture.

10% of the total budget is used for developing infrastructure.

42% of the total budget is used for developing healthcare.

Therefore, the remaining 25% of the budget is used for education, same as in 2021.

Now,

$25\%of360°=\frac{25}{100}\times 360°=90°$

Hence, the angle made by the budget allocated for education in 2021 is 90°.