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
Months Cumulative number of sale of Red EVs Cumulative percentage of sale of EVs (Red and White in colour) May 360 25 % Till June 456 41 % Till July 816 61 % Till August 1032 79 % Till September 1232 100 %
Note: Total number of EVs (Red and White) sold in all the 5 months is 2400.
May EV Sales Calculation
The question asks for the ratio between the number of EVs sold in May and the average number of Red and White EVs sold in August. First, let's calculate the number of EVs sold in May.
- The total number of EVs (Red and White) sold across the five months is given as 2400.
- The cumulative percentage of EVs sold up to May is 25%.
- Therefore, the number of EVs sold in May is calculated as: Number of EVs sold in May = $25\%$ of $2400 = \frac{25}{100} \times 2400 = 0.25 \times 2400 = 600$.
August Average Red White EV Sales
Next, we need to find the average number of Red and White EVs sold in August. To do this, we first determine the total number of EVs sold specifically in August.
- The cumulative percentage of EVs sold up to July is 61%. Total EVs sold up to July = $61\%$ of $2400 = \frac{61}{100} \times 2400 = 1464$.
- The cumulative percentage of EVs sold up to August is 79%. Total EVs sold up to August = $79\%$ of $2400 = \frac{79}{100} \times 2400 = 1896$.
- The total number of EVs sold in August is the difference between the cumulative sales up to August and the cumulative sales up to July: Total EVs sold in August = (Total EVs sold up to August) - (Total EVs sold up to July) = $1896 - 1464 = 432$.
- The question asks for the "average number of red and white EVs sold in August". This represents the average of the number of Red EVs sold in August and the number of White EVs sold in August. This is equivalent to $\frac{\text{Total EVs sold in August}}{2}$. Average number of Red and White EVs sold in August = $\frac{432}{2} = 216$.
EV Sales Ratio Determination
Finally, we calculate the ratio of the number of EVs sold in May to the average number of Red and White EVs sold in August.
- Number of EVs sold in May = 600.
- Average number of Red and White EVs sold in August = 216.
- The ratio is: Ratio = (Number of EVs sold in May) : (Average number of Red and White EVs sold in August) = $600 : 216$.
- To simplify the ratio, we divide both numbers by common factors: Divide both numbers by 12: $600 \div 12 = 50$ and $216 \div 12 = 18$. The ratio becomes $50 : 18$. Divide both numbers by 2: $50 \div 2 = 25$ and $18 \div 2 = 9$. The ratio becomes $25 : 9$.
- Thus, the simplified ratio is $25 : 9$.
Important Questions from Data Interpretation
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The ratio between the companies having more production than demand and more demand than production is:
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