72. 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 and 990 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?
- 250
- 240
- 230
- 225
Sol. Ans (b)
A good question based on percentages.
Total households are 100%, then if 12% are below Rs.30000, X % are between 30,000 and 1,00,000, and 22% are above 1,00,000. So, if we add them, we get : 12 + X + 22 = 100 => X = 66%.
This 66% is given to us as 990 households (read question). So the total population = (990 x 100) / 66 = 1500 households.
Now 22% of 1500 are above Rs.1,00,000. But 6% are above Rs.2,00,000.
So households between Rs.1,00,000 and Rs.2,00,000 are 16% of 1500 ( = 22% - 6%), which is 240.
That gives us the answer = 240 households. Best answer is (b).