Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements. Give answer
What is the population of the city A?
I. The ratio of the population of males and females in city A is 27 : 23 and the difference between their population is 100000.
II. The population of city A is 80% of that of city B. The difference of population of city A and city B is 312500.
Statement I : Lat males in city A = $$27x$$ and females in city A = $$23x$$
=> $$27x - 23x = 1,00,000$$
=> $$x = \frac{1,00,000}{4} = 25,000$$
$$\therefore$$ Total population of city A = $$27x + 23x = 50x$$
= $$50 \times 25,000 = 12,50,000$$
=> Statement I alone is sufficient.
Statement II : Let population of city B = $$100x$$
=> Population of city A = $$\frac{80}{100} \times 100x = 80x$$
=> $$100x - 80x = 3,12,500$$
=> $$x = \frac{3,12,500}{20} = 15,625$$
$$\therefore$$ Population of city A = $$80 \times 15,625 = 12,50,000$$
=> Statement II alone is sufficient.
$$\therefore$$ Either statement alone is sufficient.
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