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In a city, 12% of households earn less than Rs.30,000 per year,6% households earn more than Rs.2,00,000 per year,22% households earn more than Rs. 1,00,000 per year and990 households earn between Rs.30,000 and Rs. 1,00,000 per year. How many households earn between Rs. 1,00,000 and Rs.2,00,000 per year?
- a)250
- b)240
- c)230
- d)225
Correct answer is option 'B'. Can you explain this answer?
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In a city, 12% of households earn less than Rs.30,000 per year,6% hous...
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In a city, 12% of households earn less than Rs.30,000 per year,6% hous...
Given information:
- 12% households earn less than Rs. 30,000 per year
- 6% households earn more than Rs. 2,00,000 per year
- 22% households earn more than Rs. 1,00,000 per year
- 990 households earn between Rs. 30,000 and Rs. 1,00,000 per year
To find:
- Number of households earn between Rs. 1,00,000 and Rs. 2,00,000 per year.
Solution:
Let's first find the percentage of households that earn less than Rs. 1,00,000 per year.
From the given information, we know that:
- 12% households earn less than Rs. 30,000 per year
- 990 households earn between Rs. 30,000 and Rs. 1,00,000 per year
Therefore, the percentage of households earning less than Rs. 1,00,000 per year is:
12% + (100% - (22% + 6%)) - (990/total number of households)
= 82% - (990/total number of households)
Now, we can find the percentage of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year as:
(100% - (percentage of households earning less than Rs. 1,00,000 per year) - percentage of households earning more than Rs. 2,00,000 per year)
= (100% - (82% - (990/total number of households)) - 6%)
= 12% + (990/total number of households)
We know that the total percentage of households earning between Rs. 30,000 and Rs. 2,00,000 per year is:
100% - 12% - 6% = 82%
Therefore, the percentage of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year is:
82% - 12% - (990/total number of households)
= 70% - (990/total number of households)
Now, we can set up an equation using the above percentage to find the number of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year.
Let x be the total number of households.
Then, we have:
(70/100)x - 990 = number of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year
Simplifying the above equation, we get:
(7/10)x - 990 = number of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year
Now, we can substitute the given answer options into the above equation and check which option satisfies it.
(a) 250: (7/10)x - 990 = 250
(7/10)x = 1240
x = 1771.43
This option does not give an integer value for the total number of households. Therefore, it is not the correct answer.
(b) 240: (7/10)x - 990 = 240
(7/10)x = 1230
x = 1757.14
This option also
- 12% households earn less than Rs. 30,000 per year
- 6% households earn more than Rs. 2,00,000 per year
- 22% households earn more than Rs. 1,00,000 per year
- 990 households earn between Rs. 30,000 and Rs. 1,00,000 per year
To find:
- Number of households earn between Rs. 1,00,000 and Rs. 2,00,000 per year.
Solution:
Let's first find the percentage of households that earn less than Rs. 1,00,000 per year.
From the given information, we know that:
- 12% households earn less than Rs. 30,000 per year
- 990 households earn between Rs. 30,000 and Rs. 1,00,000 per year
Therefore, the percentage of households earning less than Rs. 1,00,000 per year is:
12% + (100% - (22% + 6%)) - (990/total number of households)
= 82% - (990/total number of households)
Now, we can find the percentage of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year as:
(100% - (percentage of households earning less than Rs. 1,00,000 per year) - percentage of households earning more than Rs. 2,00,000 per year)
= (100% - (82% - (990/total number of households)) - 6%)
= 12% + (990/total number of households)
We know that the total percentage of households earning between Rs. 30,000 and Rs. 2,00,000 per year is:
100% - 12% - 6% = 82%
Therefore, the percentage of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year is:
82% - 12% - (990/total number of households)
= 70% - (990/total number of households)
Now, we can set up an equation using the above percentage to find the number of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year.
Let x be the total number of households.
Then, we have:
(70/100)x - 990 = number of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year
Simplifying the above equation, we get:
(7/10)x - 990 = number of households earning between Rs. 1,00,000 and Rs. 2,00,000 per year
Now, we can substitute the given answer options into the above equation and check which option satisfies it.
(a) 250: (7/10)x - 990 = 250
(7/10)x = 1240
x = 1771.43
This option does not give an integer value for the total number of households. Therefore, it is not the correct answer.
(b) 240: (7/10)x - 990 = 240
(7/10)x = 1230
x = 1757.14
This option also
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In a city, 12% of households earn less than Rs.30,000 per year,6% households earn more than Rs.2,00,000 per year,22% households earn more than Rs. 1,00,000 per year and990 households earn between Rs.30,000 and Rs. 1,00,000 per year. How many households earn between Rs. 1,00,000 and Rs.2,00,000 per year?a)250b)240c)230d)225Correct answer is option 'B'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a city, 12% of households earn less than Rs.30,000 per year,6% households earn more than Rs.2,00,000 per year,22% households earn more than Rs. 1,00,000 per year and990 households earn between Rs.30,000 and Rs. 1,00,000 per year. How many households earn between Rs. 1,00,000 and Rs.2,00,000 per year?a)250b)240c)230d)225Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a city, 12% of households earn less than Rs.30,000 per year,6% households earn more than Rs.2,00,000 per year,22% households earn more than Rs. 1,00,000 per year and990 households earn between Rs.30,000 and Rs. 1,00,000 per year. How many households earn between Rs. 1,00,000 and Rs.2,00,000 per year?a)250b)240c)230d)225Correct answer is option 'B'. Can you explain this answer?.
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