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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.

What is the difference between the number of White EVs sold in June and the number of Red EVs sold in August?

The correct answer is
72

EV Sales Data Analysis: June and August

This solution explains how to calculate the difference between the number of White Electric Vehicles (EVs) sold in June and the number of Red EVs sold in August, based on the provided cumulative sales data.

Calculating Red EVs Sold in August

We need to find the number of Red EVs sold specifically during the month of August. This is derived from the cumulative sales data provided in the table.

  • Cumulative number of Red EVs sold till August = 1032.
  • Cumulative number of Red EVs sold till July = 816.
  • The number of Red EVs sold in August is the difference between these two cumulative figures:

Number of Red EVs sold in August = Cumulative Red EVs (till Aug) - Cumulative Red EVs (till Jul)
Number of Red EVs sold in August = $1032 - 816 = 216$

Calculating White EVs Sold in June

To find the number of White EVs sold in June, we first determine the total number of EVs sold in June and the number of Red EVs sold in June. This involves using both cumulative figures and the total sales data.

Step 1: Find total EVs sold up to June.

  • Cumulative percentage of total EVs (Red + White) sold till June = 41%.
  • Total number of EVs sold in all 5 months = 2400.
  • Total EVs sold till June = $41\% \times 2400 = \frac{41}{100} \times 2400 = 41 \times 24 = 984$.

Step 2: Find Red EVs sold up to June.

  • Cumulative number of Red EVs sold till June = 456.

Step 3: Find White EVs sold up to June.

  • White EVs sold till June = Total EVs sold till June - Red EVs sold till June
  • White EVs sold till June = $984 - 456 = 528$.

Step 4: Find total EVs sold up to May.

  • Cumulative percentage of total EVs (Red + White) sold till May = 25%.
  • Total EVs sold till May = $25\% \times 2400 = \frac{25}{100} \times 2400 = 25 \times 24 = 600$.

Step 5: Find Red EVs sold up to May.

  • Cumulative number of Red EVs sold till May = 360.

Step 6: Find White EVs sold up to May.

  • White EVs sold till May = Total EVs sold till May - Red EVs sold till May
  • White EVs sold till May = $600 - 360 = 240$.

Step 7: Find White EVs sold specifically in June.

  • White EVs sold in June = White EVs sold till June - White EVs sold till May
  • White EVs sold in June = $528 - 240 = 288$.

Calculating the Difference in EV Sales

Now we find the difference between the number of White EVs sold in June and the number of Red EVs sold in August.

  • Number of White EVs sold in June = 288.
  • Number of Red EVs sold in August = 216.
  • Difference = $| \text{White EVs sold in June} - \text{Red EVs sold in August} |$
  • Difference = $| 288 - 216 | = |72| = 72$.

Therefore, the difference between the number of White EVs sold in June and the number of Red EVs sold in August is 72.

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