The following table shows the distribution of number (in Lakhs) of Mobile Phones in seven different states and percentage distribution of these Phones among three different categories of people of India (High/Middle/ Low income) under the CONNECT Scheme. Total Mobile Phones distributed are 30 Lakhs. Some values (marked as '-') are missing in the table which you are expected to calculate if required. Based on the data in the table, answer the question. State-wise distribution of Mobile PhonesState Number of Mobile Phones Distributed (in lakhs) Distribution (%) of Mobile Phones among people with High Income Middle Income Low Income M.P. 6.5 15% - 50% Bihar 3.4 12% 32% - U.P. 2.5 8% 13% - Haryana 5.2 - 25% - Punjab - 21% 22% - Assam 4.2 - 9% 78% Kerala 4.7 15% - 60%
Total distribution of Mobile Phones in Low income people of all the states together excluding Haryana is approximately _________ % of the total distribution in all the states together?
50.7
Analyzing Mobile Phone Distribution Data
The question asks us to calculate the total distribution of mobile phones to low-income people in all states *excluding* Haryana, as a percentage of the total mobile phone distribution in all states together.
The total number of mobile phones distributed is given as 30 Lakhs. The table provides state-wise distribution in Lakhs and the percentage distribution among high, middle, and low-income groups, with some missing values.
Step 1: Fill in Missing Data in the Table
For each state, the percentages for High, Middle, and Low income must sum up to 100%. We can use this fact to find the missing percentage values.
- M.P.: Missing Middle Income %. $100\% - 15\% - 50\% = 35\%$.
- Bihar: Missing Low Income %. $100\% - 12\% - 32\% = 56\%$.
- U.P.: Missing Low Income %. $100\% - 8\% - 13\% = 79\%$.
- Punjab: Missing Low Income %. $100\% - 21\% - 22\% = 57\%$.
- Assam: Missing High Income %. $100\% - 9\% - 78\% = 13\%$.
- Kerala: Missing Middle Income %. $100\% - 15\% - 60\% = 25\%$.
We also need the number of mobile phones for Punjab, which is marked as '-'. We know the total phones are 30 Lakhs. Summing the known state values and subtracting from the total will give us Punjab's value.
Sum of known states: $6.5 + 3.4 + 2.5 + 5.2 + 4.2 + 4.7 = 26.5$ Lakhs.
Phones in Punjab: $30 - 26.5 = 3.5$ Lakhs.
Here is the completed table:
| State | Number of Mobile Phones Distributed (in lakhs) | Distribution (%) of Mobile Phones among people with High Income | Distribution (%) of Mobile Phones among people with Middle Income | Distribution (%) of Mobile Phones among people with Low Income |
|---|---|---|---|---|
| M.P. | 6.5 | 15% | 35% | 50% |
| Bihar | 3.4 | 12% | 32% | 56% |
| U.P. | 2.5 | 8% | 13% | 79% |
| Haryana | 5.2 | - | 25% | - |
| Punjab | 3.5 | 21% | 22% | 57% |
| Assam | 4.2 | 13% | 9% | 78% |
| Kerala | 4.7 | 15% | 25% | 60% |
Step 2: Calculate the Number of Phones for Low Income in Each State (Excluding Haryana)
We multiply the total number of phones in each state by the percentage of phones distributed to the Low Income group for that state. We will do this for all states except Haryana.
- M.P.: $6.5 \text{ Lakhs} \times 50\% = 6.5 \times 0.50 = 3.25$ Lakhs
- Bihar: $3.4 \text{ Lakhs} \times 56\% = 3.4 \times 0.56 = 1.904$ Lakhs
- U.P.: $2.5 \text{ Lakhs} \times 79\% = 2.5 \times 0.79 = 1.975$ Lakhs
- Punjab: $3.5 \text{ Lakhs} \times 57\% = 3.5 \times 0.57 = 1.995$ Lakhs
- Assam: $4.2 \text{ Lakhs} \times 78\% = 4.2 \times 0.78 = 3.276$ Lakhs
- Kerala: $4.7 \text{ Lakhs} \times 60\% = 4.7 \times 0.60 = 2.82$ Lakhs
Step 3: Calculate Total Low Income Phones in States Excluding Haryana
Sum the values calculated in Step 2:
Total Low Income (Excluding Haryana) $= 3.25 + 1.904 + 1.975 + 1.995 + 3.276 + 2.82$ Lakhs
Total Low Income (Excluding Haryana) $= 15.22$ Lakhs
Step 4: Calculate the Required Percentage
The total distribution in all states together is given as 30 Lakhs.
The required percentage is:
$$ \left( \frac{\text{Total Low Income Phones (Excluding Haryana)}}{\text{Total Phones in all states}} \right) \times 100\% $$ $$ \left( \frac{15.22}{30} \right) \times 100\% $$ $$ 0.50733... \times 100\% $$ $$ 50.733...\% $$Conclusion
The total distribution of Mobile Phones in Low income people of all the states together excluding Haryana is approximately $50.7\%$ of the total distribution in all the states together.
Comparing this value with the given options, $50.733...\%$ is closest to $50.7\%$.
The final answer is $50.7$.
Revision Table: Mobile Phone Distribution Analysis
| Step | Description | Calculation/Result |
|---|---|---|
| 1 | Calculate missing percentages | M.P. (Mid): 35%, Bihar (Low): 56%, U.P. (Low): 79%, Punjab (Low): 57%, Assam (High): 13%, Kerala (Mid): 25% |
| 1 | Calculate missing phones (Punjab) | $30 - (6.5+3.4+2.5+5.2+4.2+4.7) = 30 - 26.5 = 3.5$ Lakhs |
| 2 | Calculate Low Income phones per state (Excl. Haryana) | M.P.: 3.25, Bihar: 1.904, U.P.: 1.975, Punjab: 1.995, Assam: 3.276, Kerala: 2.82 (Lakhs) |
| 3 | Sum Low Income phones (Excl. Haryana) | $3.25 + 1.904 + 1.975 + 1.995 + 3.276 + 2.82 = 15.22$ Lakhs |
| 4 | Calculate final percentage | $(15.22 / 30) \times 100\% \approx 50.73\%$ |
Additional Information: Data Interpretation Skills
Data interpretation questions like this require careful reading of the table and the question. Key skills involved include:
- Reading Tables: Understanding rows, columns, and units (Lakhs, Percentages).
- Handling Missing Data: Using given information (like total percentage summing to 100%) to calculate unknown values.
- Percentage Calculations: Calculating a percentage of a given number, and calculating one number as a percentage of another.
- Summation: Adding up relevant values accurately.
- Understanding Constraints: Carefully noting conditions like "excluding Haryana" in the question.
Practicing different types of data interpretation questions helps improve speed and accuracy in competitive exams.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
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Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
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Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
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2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
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The period which has the maximum percentage increase in profit over the previous year is:
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States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
