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
The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 What does the height of the rectangle in a histogram show?
Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.
Category
2010
2011
Raw material
5200
6240
Power & fuel
7000
9450
Salary & wages
9000
12600
Plant & machinery
20000
25000
Advertising
15000
19500
Research & Development
22000
26400
In 2011, which of the following two categories have registered increase by same percentage?
Read the following table giving sales data of five types of batteries for years 2006 to 2012
Year
Type I
Type II
Type III
Type IV
Type V
2006
75
144
114
102
108
2007
90
126
102
84
126
2008
96
114
75
105
135
2009
105
90
150
90
75
2010
90
75
135
75
90
2011
105
60
165
45
120
2012
115
85
160
100
145
Out of the following which type of battery achieved highest growth between the years 2006 and 2012?Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?
A
D
B
G
E
C
F
