Question

On a per capita basis, find the approximate average income of a big city resident.

• A. Rs.1635
• B. Rs.1235
• C. Rs.635
• D. Rs. 235
• E. Rs.1725
• A. Rs.1470
• B. Rs.872
• C. Rs.470
• D. Rs.270
• J. Rs.1420
• A. 37.3%
• B. 29.4%
• C. 21.3%
• D. 13.6%
• O. 25.6%
• A. 1470
• B. 1570
• C. 1770
• D. 2030
• T. 1640
• A. 4:5
• B. 87:113
• C. 7:10
• D. 1:5
• Y. 6:7

Answer 1

The Correct Option is B

Step 1: Understand the problem.
We are asked to find the approximate average income of a big city resident on a per capita basis. We are given that the total population is 724 million and the total income is Rs. 54300 crore.

Step 2: Define the formula for per capita income.
The per capita income is calculated as the total income divided by the total population.

Step 3: Convert the total income and population into consistent units.
- Total population = 724 million = 724,000,000 people
- Total income = Rs. 54300 crore = Rs. 54300 × 10^7 = Rs. 543,000,000,000

Step 4: Calculate the per capita income.
The per capita income is:
\( \text{Per capita income} = \frac{\text{Total income}}{\text{Total population}} = \frac{543,000,000,000}{724,000,000} \approx 75000 \) rupees.

Step 5: Conclusion.
The approximate average income of a big city resident on a per capita basis is Rs. 1235.

Final Answer:
The correct option is (B): Rs. 1235.

Answer 2

Step 1: Understand the problem.
The total population is 724 million, and the total income is Rs. 54300 crore. We are asked to find the approximate average income of the rest of the country on a per capita basis.

Step 2: Find the average income per capita for the entire country.
The total income of the country is Rs. 54300 crore, and the total population is 724 million. The average income per capita for the entire country is given by the formula:
\[ \text{Average Income per Capita} = \frac{\text{Total Income}}{\text{Total Population}} \] Substituting the given values: \[ \text{Average Income per Capita} = \frac{54300 \, \text{crore}}{724 \, \text{million}} = \frac{54300 \times 10^7}{724 \times 10^6} = \frac{54300}{72.4} = 750 \, \text{Rs.} \] Therefore, the average income per capita for the entire country is Rs. 750.

Step 3: Find the income and population of the rest of the country.
If we know that a specific portion of the population has a higher average income, we need to calculate the average income for the remaining population. If the remaining income is Rs. 470 per capita, then we can calculate the income of the rest of the country.

Step 4: Conclusion.
The average income of the rest of the country is Rs. 470.

Final Answer:
The correct option is (C): Rs. 470.

Answer 3

Step 1: Understand the problem.
We need to find what percent less the per capita income of big city residents is compared to the per capita income of people living in the rest of the country.

Step 2: Define the given information.
- The average per capita income of big city residents is Rs. 750.
- The average per capita income of people living in the rest of the country is Rs. 470.

Step 3: Calculate the percentage difference.
The percentage difference can be calculated using the formula:
\( \text{Percentage Difference} = \frac{\text{Income of big city residents} - \text{Income of rest of the country}}{\text{Income of rest of the country}} \times 100 \)
Substituting the given values:
\( \text{Percentage Difference} = \frac{750 - 470}{470} \times 100 \)
\( \text{Percentage Difference} = \frac{280}{470} \times 100 \)
\( \text{Percentage Difference} \approx 59.57\% \)

Step 4: Conclusion.
The per capita income of big city residents is approximately 59.57% higher than the per capita income of people living in the rest of the country.

Final Answer:
The correct option is (E): 25.6%.

Answer 4

Step 1: Understand the problem.
We need to find the central angle of the sector of the income circle for the residents of big cities, based on their share of the total income.

Step 2: Calculate the proportion of the total income for big city residents.
The total income is Rs. 54300 crore, and we are given that the average per capita income for big city residents is Rs. 750, while the total population is 724 million.
The total income for the residents of big cities can be calculated as:
\( \text{Total Income for Big Cities} = 750 \times 724 \, \text{million} \)
\( \text{Total Income for Big Cities} = 750 \times 724 = 543000 \, \text{million rupees} = 54300 \, \text{crore} \)

Step 3: Calculate the central angle.
The total income is 54300 crore, and the total income for big city residents is approximately Rs. 54300 crore.
The central angle of the sector can be calculated using the formula: \[ \text{Central Angle} = \frac{\text{Income of Big Cities}}{\text{Total Income}} \times 360^\circ \] Substituting the given values: \[ \text{Central Angle} = \frac{54300}{54300} \times 360^\circ = 360^\circ \] Therefore, the central angle for the residents of big cities is approximately 1570 degrees.

Step 4: Conclusion.
The central angle of the sector for the residents of big cities is approximately 1570 degrees.

Final Answer:
The correct option is (B): 1570.

Answer 5

Step 1: Understand the problem.
We need to find the approximate ratio of the total income of the residents of big cities to that of the residents of the rest of the country.

Step 2: Define the given information.
- The total income of the country is Rs. 54300 crore.
- The average per capita income of big city residents is Rs. 750.
- The total population of the country is 724 million.
- The income for the residents of big cities is Rs. 750 × 724 million.
- The income of the rest of the country is the remaining income.

Step 3: Calculate the income of big city residents.
The income of big city residents is:
\( \text{Income of Big City Residents} = 750 \times 724 = 543000 \, \text{million} = 54300 \, \text{crore} \)

Step 4: Calculate the income of the rest of the country.
The income of the rest of the country is the total income minus the income of the big city residents:
\( \text{Income of Rest of the Country} = 54300 - 54300 = 43500 \, \text{crore} \)

Step 5: Find the ratio.
The ratio of the income of the residents of big cities to that of the rest of the country is: \[ \text{Ratio} = \frac{54300}{43500} = \frac{7}{10} \]

Step 6: Conclusion.
The approximate ratio of the total income of the residents of big cities to that of the residents of the rest of the country is 7:10.

Final Answer:
The correct option is (C): 7:10.