Exams › GATE › General Aptitude
Population of state X increased by x% and the population of state Y increased by y% from 2001 to 2011. Assume that x is greater than y. Let P be the ratio of population of state X to state Y in a given year. The percentage increase in P from 2001 to 2011 is ________.
- x / y
- x − y
- 100(x−y) / (100+x)
- 100(x−y) / (100+y)
Correct answer: 100(x−y) / (100+y)
Solution
The correct option is derived from the formula for percentage change in ratios, which accounts for the different growth rates of the two populations. Since state X's population grows faster than state Y's, the change in their ratio reflects the difference in their percentage increases, adjusted for the initial size of state Y's population.
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