Question

The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023. 
 

The renewable sources of electricity generation consist of Hydro, Solar, and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?}

• A. ( 25% )
• B. ( 50% )
• C. ( 77.5% )
• D. ( 62.5% )

Hint:

For pie chart-based problems involving percentages, identify the relevant segments and calculate differences systematically. Use the formula for percentage increase: [ {Percentage Increase} = frac{{Increase in Value}}{{Initial Value}} times 100. ]

Answer 1

The Correct Option is D

Step 1: Determine the share of renewable sources for 2007.

The renewable sources are Hydro, Solar, and Wind. From the 2007 pie chart:

\[ \text{Hydro} = 30\%, \quad \text{Solar} = 5\%, \quad \text{Wind} = 5\% \] \[ \text{Total Renewable Share (2007)} = 30\% + 5\% + 5\% = 40\%. \] Step 2: Determine the share of renewable sources for 2023.

From the 2023 pie chart:

\[ \text{Hydro} = 35\%, \quad \text{Solar} = 20\%, \quad \text{Wind} = 10\% \] \[ \text{Total Renewable Share (2023)} = 35\% + 20\% + 10\% = 65\%. \] Step 3: Calculate the percentage increase. \[ \text{Increase in Renewable Share} = \text{Total Renewable Share (2023)} - \text{Total Renewable Share (2007)} \] \[ \text{Increase in Renewable Share} = 65\% - 40\% = 25\%. \]

The percentage increase in the share of renewable sources is:

\[ \text{Percentage Increase} = \frac{\text{Increase in Renewable Share}}{\text{Total Renewable Share (2007)}} \times 100 \] \[ \text{Percentage Increase} = \frac{25\%}{40\%} \times 100 = 62.5\%. \]

Thus, the percentage increase is \( 62.5\% \).