Given Data:
- 12% of households earn less than Rs. 30,000.
- 6% of households earn more than Rs. 2,00,000.
- 22% of households earn more than Rs. 1,00,000.
- 990 households earn between Rs. 30,000 and Rs. 1,00,000.
Let the total number of households be X.
Step 1: Use the total percentage of households
- 12% of X = 0.12X (households earning less than Rs. 30,000)
- 990 households (households earning between Rs. 30,000 and Rs. 1,00,000)
- Let y be the number of households earning between Rs. 1,00,000 and Rs. 2,00,000
- 6% of X = 0.06X (households earning more than Rs. 2,00,000)
Step 2: Use the 22% of households earning more than Rs. 1,00,000
- 22% of X = 0.22X (households earning more than Rs. 1,00,000)
- y+0.06X=0.22X
- y=0.22X−0.06X=0.16X
Step 3: Use the total number of households
- 0.12X+990+0.16X+0.06X=X
- 0.34X+990=X
- 990=X−0.34X
- 990=0.66X
- X=990/0.66=1500
Step 4: Calculate the number of households earning between Rs. 1,00,000 and Rs. 2,00,000
- y=0.16∗1500=240
Final Answer: The number of households earning between Rs. 1,00,000 and Rs. 2,00,000 is 240.
Answer: B. 240