Correct Option (B)

The total percentage of households in the city is considered as 100%.

Given data:

Households earning less than Rs. 30,000 per year: 12%.
Households earning more than Rs. 1,00,000 per year: 22%.
Households earning between Rs. 30,000 and Rs. 1,00,000 per year: 990 households.

The percentage of households earning between Rs. 30,000 and Rs. 1,00,000 can be determined by subtracting the other known percentages from the total:

Percentage (Rs. 30,000 - Rs. 1,00,000) = 100% - (Percentage < Rs. 30,000 + Percentage > Rs. 1,00,000)

= 100% - (12% + 22%)

= 100% - 34% = 66%.

Since 66% of the total households corresponds to 990 households, the total number of households in the city is calculated as:

Total Households = 990 × $\frac{100}{66}$ = 1500 households.

To find the number of households earning between Rs. 1,00,000 and Rs. 2,00,000, we use the given percentages:

Households earning more than Rs. 1,00,000: 22% of total households.
Households earning more than Rs. 2,00,000: 6% of total households.

The percentage of households earning specifically between Rs. 1,00,000 and Rs. 2,00,000 is the difference between these two categories:

Percentage (Rs. 1,00,000 - Rs. 2,00,000) = Percentage > Rs. 1,00,000 - Percentage > Rs. 2,00,000

= 22% - 6% = 16%.

Finally, the number of households in this income bracket is 16% of the total households:

Number of Households = 16% of 1500

= $\frac{16}{100}$ × 1500 = 240 households.

Incorrect Options:

Options A (250), C (230), and D (225) are incorrect. These values would arise from errors in calculating the total number of households, misinterpreting the income brackets, or performing incorrect arithmetic operations based on the provided percentages.