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From 2017 to 2018, the population of city P increases by 10% and the population of city Q increases by 20%. What was the population of city P in 2017? Statement I: Sum of populations of cities P and Q in 2018 was 160000. Statement II: Population of city Q was 25% less than the population of city P in 2017.

From 2017 to 2018, the population of city P increases by 10% and the population of city Q increases by 20%. What was the population of city P in 2017? Statement I: Sum of populations of cities P and Q in 2018 was 160000. Statement II: Population of city Q was 25% less than the population of city P in 2017. Correct Answer Statements I and II together are required to answer the question.

Combining statements I and II: 

Population of city Q was 25% less than the population of city P in 2017.

Suppose the population of city P in 2017 is x

⇒ Population of city Q in 2017 = 0.75x

Now,

From 2017 to 2018, the population of city P increases by 10% and the population of city Q increases by 20%.

Sum of populations of cities P and Q in 2018 was 160000.

So,

1.1x + 1.2 × 0.75x = 160000

⇒ 1.1x + 0.9x = 160000

⇒ x = 80000

⇒ Population of city P in 2017 = 80000

∴ Statements I and II together are required to answer the question.

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