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. \begin{center} \includegraphics[width=10cm]{8.png} \end{center} 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:

To calculate percentage increases, always compare the absolute increase to the original value. Use this approach for analyzing changes in shares or percentages.

Answer 1

The Correct Option is D

Step 1: Calculate the total share of renewable sources in 2007.
In 2007, the shares of renewable sources (Hydro, Solar, and Wind) are: \[ \text{Hydro: } 30\%, \quad \text{Solar: } 5\%, \quad \text{Wind: } 5\%. \] The total share of renewable sources in 2007 is: \[ 30\% + 5\% + 5\% = 40\%. \] Step 2: Calculate the total share of renewable sources in 2023.
In 2023, the shares of renewable sources (Hydro, Solar, and Wind) are: \[ \text{Hydro: } 35\%, \quad \text{Solar: } 20\%, \quad \text{Wind: } 10\%. \] The total share of renewable sources in 2023 is: \[ 35\% + 20\% + 10\% = 65\%. \] Step 3: Calculate the percentage increase in the share of renewable sources.
The increase in share is: \[ 65\% - 40\% = 25\%. \] The percentage increase relative to 2007 is: \[ \frac{25\%}{40\%} \times 100 = 62.5\%. \] Final Answer: \[ \boxed{\text{(4) } 62.5\%} \]