Direction: For the next items, consider the following data with regard to different types (1, 2, 3, 4, 5) of multivitamin tablets produced in a company (in lakhs): Year 1 2 3 4 5 2000 160 80 70 90 75 2001 200 150 85 160 100 2002 135 35 44 95 85 2003 240 95 120 80 120 2004 180 110 85 95 115 2005 210 150 100 92 110
The ratio of percentage drop in total production in 2004 compared to 2001 to that in 2000 compared to 2001, is
The question asks us to find the ratio between the percentage drop in total multivitamin tablet production in the year 2004 compared to 2001, and the percentage drop in total production in the year 2000 compared to 2001. We need to use the provided data table which shows the production (in lakhs) of five different types of multivitamin tablets for the years 2000 to 2005.
Calculating Total Production for Relevant Years
First, we need to calculate the total production for the years 2000, 2001, and 2004 by summing the production of all five types of tablets for each of these years.
- Total Production in 2000 = Production(Type 1) + Production(Type 2) + Production(Type 3) + Production(Type 4) + Production(Type 5) \[ \text{Total Production}_{2000} = 160 + 80 + 70 + 90 + 75 = 475 \text{ lakhs} \]
- Total Production in 2001 = Production(Type 1) + Production(Type 2) + Production(Type 3) + Production(Type 4) + Production(Type 5) \[ \text{Total Production}_{2001} = 200 + 150 + 85 + 160 + 100 = 695 \text{ lakhs} \]
- Total Production in 2004 = Production(Type 1) + Production(Type 2) + Production(Type 3) + Production(Type 4) + Production(Type 5) \[ \text{Total Production}_{2004} = 180 + 110 + 85 + 95 + 115 = 585 \text{ lakhs} \]
Here is a summary table for the total production:
| Year | Total Production (in lakhs) |
|---|---|
| 2000 | 475 |
| 2001 | 695 |
| 2004 | 585 |
Calculating Percentage Drop in 2004 Compared to 2001
Next, we calculate the percentage drop in total production in 2004 relative to 2001. A percentage drop is calculated using the formula:
\[ \text{Percentage Drop} = \left( \frac{\text{Value in Base Year} - \text{Value in Comparison Year}}{\text{Value in Base Year}} \right) \times 100 \]In this case, the base year is 2001 and the comparison year is 2004.
- Drop in Production = Total Production\(_{2001}\) - Total Production\(_{2004}\) \[ \text{Drop} = 695 - 585 = 110 \text{ lakhs} \]
- Percentage Drop (2004 vs 2001) = \( \left( \frac{110}{695} \right) \times 100 \)
Calculating Percentage Drop in 2000 Compared to 2001
Now, we calculate the percentage drop in total production in 2000 relative to 2001. Here, the base year is 2001 and the comparison year is 2000.
- Drop in Production = Total Production\(_{2001}\) - Total Production\(_{2000}\) \[ \text{Drop} = 695 - 475 = 220 \text{ lakhs} \]
- Percentage Drop (2000 vs 2001) = \( \left( \frac{220}{695} \right) \times 100 \)
Determining the Ratio of Percentage Drops
Finally, we need to find the ratio of the percentage drop calculated in the previous steps.
Ratio = \( \frac{\text{Percentage Drop (2004 vs 2001)}}{\text{Percentage Drop (2000 vs 2001)}} \)
Substituting the values we calculated:
\[ \text{Ratio} = \frac{\left( \frac{110}{695} \right) \times 100}{\left( \frac{220}{695} \right) \times 100} \]The \( \times 100 \) and the denominator \( 695 \) cancel out:
\[ \text{Ratio} = \frac{110}{220} \]Simplifying the fraction:
\[ \text{Ratio} = \frac{1}{2} \]Thus, the ratio of the percentage drop in total production in 2004 compared to 2001 to that in 2000 compared to 2001 is \( \frac{1}{2} \). This corresponds to Option 3.
Similar Questions
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Important Questions from Tabulation
Table shows income (in Rs.) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38000
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?The table given below shows the GDP of two countries in different five years.
Country Years A B Y1 175 285 Y2 200 300 Y3 150 125 Y4 75 85 Y5 50 95 K1 = The value of average GDP of country A in all the 5 years.
K2 = The value of average GDP of country B in all the 5 years.
What is the value of (K1 + K2)?
Study the Table Properly and answer by interpreting the data
The table shows the percentage population of five districts in a state below poverty line and the proportion of males and females.
District Percentage of population
below poverty levelProportion of Male and Female Below poverty line (M:F) Above poverty Line (M:F) D1 15 2 : 3 3 : 2 D2 18 3 : 4 7 : 5 D3 20 2 : 5 3 : 4 D4 25 5 : 2 4 : 3 D5 12 3 : 7 2 : 7 If the total population in the district D3 is 40,000, then what is the population of below poverty line in the district D3, ?
The table given below shows the marks obtained by 4 students in 5 subjects. The maximum marks of each subject is 100.
Subjects
Students
P1
P2
P3
P4
S1
89
100
92
91
S2
62
52
72
37
S3
57
55
70
65
S4
76
85
76
58
S5
85
70
66
62
What is the total percent marks of P4?
The data given below shows the number of people who have saved a certain amount of money.
Savings
(in Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the mode of the given data?
