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Question

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 Phones

StateNumber of Mobile Phones Distributed (in lakhs)Distribution (%) of Mobile Phones among people with
High IncomeMiddle IncomeLow Income
M.P.6.515%-50%
Bihar3.412%32%-
U.P.2.58%13%-
Haryana5.2-25%-
Punjab-21%22%-
Assam4.2-9%78%
Kerala4.715%-60%

What is the difference between the number of Mobile phones distributed among High income people of UP, MP and Kerala together and Middle income people of Haryana, Punjab and Kerala together?

The correct answer is

136500

The question asks us to find the difference between two specific sums related to the distribution of Mobile Phones under the CONNECT Scheme. We need to calculate the total number of phones distributed to High income people in UP, MP, and Kerala combined, and the total number of phones distributed to Middle income people in Haryana, Punjab, and Kerala combined. The total number of Mobile Phones distributed is 30 Lakhs.

First, let's complete the table by calculating the missing values (marked with '-'). The percentages for each state must add up to 100%.

  • M.P.: Middle Income % = 100% - (High Income % + Low Income %) = 100% - (15% + 50%) = 100% - 65% = 35%.
  • Bihar: Low Income % = 100% - (High Income % + Middle Income %) = 100% - (12% + 32%) = 100% - 44% = 56%.
  • U.P.: Low Income % = 100% - (High Income % + Middle Income %) = 100% - (8% + 13%) = 100% - 21% = 79%.
  • Haryana: High Income % = 100% - (Middle Income % + Low Income %) = 100% - (25% + 50%) = 100% - 75% = 25%.
  • Punjab: We need to find the number of phones distributed in Punjab first. The total number of phones distributed is 30 Lakhs. Sum of known state distributions = 6.5 (M.P.) + 3.4 (Bihar) + 2.5 (U.P.) + 5.2 (Haryana) + 4.2 (Assam) + 4.7 (Kerala) = 26.5 Lakhs. Number of phones in Punjab = Total phones - Sum of known states = 30 - 26.5 = 3.5 Lakhs. Now, Low Income % = 100% - (High Income % + Middle Income %) = 100% - (21% + 22%) = 100% - 43% = 57%.
  • Assam: High Income % = 100% - (Middle Income % + Low Income %) = 100% - (9% + 78%) = 100% - 87% = 13%.
  • Kerala: Middle Income % = 100% - (High Income % + Low Income %) = 100% - (15% + 60%) = 100% - 75% = 25%.

Here is the completed table with all values:

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% 25% 50%
Punjab 3.5 21% 22% 57%
Assam 4.2 13% 9% 78%
Kerala 4.7 15% 25% 60%

Calculating Mobile Phone Distribution by Income and State

Now let's calculate the number of phones for the required groups:

High Income People: UP, MP, and Kerala

  • U.P. High Income: Total phones in U.P. = 2.5 Lakhs. High Income % = 8%. Number of phones = $\text{2.5 Lakhs} \times \frac{8}{100} = 0.2$ Lakhs.
  • M.P. High Income: Total phones in M.P. = 6.5 Lakhs. High Income % = 15%. Number of phones = $\text{6.5 Lakhs} \times \frac{15}{100} = 0.975$ Lakhs.
  • Kerala High Income: Total phones in Kerala = 4.7 Lakhs. High Income % = 15%. Number of phones = $\text{4.7 Lakhs} \times \frac{15}{100} = 0.705$ Lakhs.

Total phones for High income people in UP, MP, and Kerala = $0.2 + 0.975 + 0.705 = 1.88$ Lakhs.

Middle Income People: Haryana, Punjab, and Kerala

  • Haryana Middle Income: Total phones in Haryana = 5.2 Lakhs. Middle Income % = 25%. Number of phones = $\text{5.2 Lakhs} \times \frac{25}{100} = 1.3$ Lakhs.
  • Punjab Middle Income: Total phones in Punjab = 3.5 Lakhs. Middle Income % = 22%. Number of phones = $\text{3.5 Lakhs} \times \frac{22}{100} = 0.77$ Lakhs.
  • Kerala Middle Income: Total phones in Kerala = 4.7 Lakhs. Middle Income % = 25%. Number of phones = $\text{4.7 Lakhs} \times \frac{25}{100} = 1.175$ Lakhs.

Total phones for Middle income people in Haryana, Punjab, and Kerala = $1.3 + 0.77 + 1.175 = 3.245$ Lakhs.

Calculating the Difference in Mobile Phone Distribution

Difference = (Total phones for Middle income people in Haryana, Punjab, and Kerala) - (Total phones for High income people in UP, MP, and Kerala)

Difference = $3.245 \text{ Lakhs} - 1.88 \text{ Lakhs} = 1.365$ Lakhs.

To convert this to a number, multiply by 1 Lakh (100,000):

Difference in number = $1.365 \times 100,000 = 136,500$.

The difference is 136,500.

Revision Table: Key Data Points

State Total Phones (Lakhs) High Income % High Income Phones (Lakhs) Middle Income % Middle Income Phones (Lakhs)
U.P. 2.5 8% 0.2 13% 0.325
M.P. 6.5 15% 0.975 35% 2.275
Kerala 4.7 15% 0.705 25% 1.175
Haryana 5.2 25% 1.3 25% 1.3
Punjab 3.5 21% 0.735 22% 0.77

Additional Information: Data Interpretation Tips

Data interpretation questions often require careful reading and calculation based on tables, charts, or graphs. Here are some tips:

  • Read the question and the provided data source (table title, notes) carefully.
  • Understand what each row and column represents in the table.
  • Note the units used (e.g., Lakhs, %).
  • Identify the specific data points needed to answer the question.
  • Calculate any missing values required for the problem.
  • Break down complex calculations into smaller steps.
  • Pay attention to whether the question asks for a sum, average, difference, ratio, or percentage change.
  • Ensure final units and format match the required output (e.g., Lakhs vs. actual number).
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    Study the table and answer the question:

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    5000

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