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Question

The following table shows the cumulative number of sale of Red Electric Vehicles (EVs) out of the total number of Red and White EVs sold and the cumulative percentage of the total number of EVs sold in five different months from May to September. Based on the data in the table, answer the questions that follow.

Month-wise Sale Distribution of EVs
 

MonthsCumulative number of sale of Red EVsCumulative percentage of sale of EVs (Red and White in colour)
May36025 %
Till June45641 %
Till July81661 %
Till August103279 %
Till September1232100 %


Note: Total number of EVs (Red and White) sold in all the 5 months is 2400.

Number of White EVs sold in May is ______ % more than the number of Red EVs sold in September.

The correct answer is
20

To answer the question, we need to determine the number of White EVs sold in May and the number of Red EVs sold in September. Then, we will calculate the percentage by which White EVs sold in May are more than Red EVs sold in September.

Red EVs Sold in September

The table provides cumulative sales of Red EVs. To find the sales in a specific month, we subtract the cumulative sales up to the previous month from the cumulative sales up to the current month.

  • Cumulative number of sale of Red EVs till August: 1032
  • Cumulative number of sale of Red EVs till September: 1232

Number of Red EVs sold in September = (Cumulative Red EVs till September) - (Cumulative Red EVs till August)

Using LaTeX: $ \text{Red EVs in Sep} = 1232 - 1032 $

Number of Red EVs sold in September = $200$.

White EVs Sold in May

The table states that the total number of EVs (Red and White) sold in all 5 months is 2400. The cumulative percentage of EVs sold till May is 25%.

This means the total number of EVs sold cumulatively up to May is 25% of the total 2400 EVs.

Total EVs sold till May = $25\% \times 2400$

Using LaTeX: $ \text{Total EVs till May} = 0.25 \times 2400 = 600 $

The cumulative number of sale of Red EVs till May is given as 360.

The number of White EVs sold cumulatively till May is the total EVs sold till May minus the cumulative Red EVs sold till May.

White EVs sold till May = (Total EVs sold till May) - (Cumulative Red EVs sold till May)

Using LaTeX: $ \text{White EVs till May} = 600 - 360 $

White EVs sold till May = $240$.

Note: Based on the common interpretation of such data tables and the provided options, "Number of White EVs sold in May" refers to the cumulative number of White EVs sold by the end of May.

Percentage Difference Calculation

We need to find by what percentage the number of White EVs sold in May (240) is more than the number of Red EVs sold in September (200).

Difference = (White EVs sold in May) - (Red EVs sold in September)

Using LaTeX: $ \text{Difference} = 240 - 200 = 40 $

To calculate the percentage more, we use the formula:

Percentage More = $ \left( \frac{\text{Difference}}{\text{Number of Red EVs sold in September}} \right) \times 100 $

Percentage More = $ \left( \frac{40}{200} \right) \times 100 $

Percentage More = $ \frac{1}{5} \times 100 $

Percentage More = $20\%$.

Therefore, the number of White EVs sold in May is 20% more than the number of Red EVs sold in September.

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Important Questions from Data Interpretation

  1. The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?

    ExpenseAmount
    Food5,000
    Rent20,000
    Travel10,000
    Clothing3,000
    Miscellaneous15,000
    Savings7,500

  2. Who had the best score on either test?

  3. Who had the most consistent scores on both tests?

  4. Who had the least consistent scores on both tests?

  5. Who had the poorest score on either test?

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