Ratio of population of male to female in a state in 2011 was 10 : 7 and ratio of male population of the state in 2011 to that in 2012 was 5 : 4. If total population of the state remains same in 2011 and 2012, then what was the ratio of female population of the state in 2011 to that in 2012?

Ratio of population of male to female in a state in 2011 was 10 : 7 and ratio of male population of the state in 2011 to that in 2012 was 5 : 4. If total population of the state remains same in 2011 and 2012, then what was the ratio of female population of the state in 2011 to that in 2012? Correct Answer 7 : 9

GIVEN:

Ratio of population of male to female in a state in 2011 was 10 : 7 and ratio of male population of the state in 2011 to that in 2012 was 5 : 4.

Total population of the state remains same in 2011 and 2012.

CONCEPT:                                                                                 

Basic ratio concept.

CALCULATION:

Let male and female population in 2011 is ‘10x’ and ‘7x’ respectively.

Total population = 10x + 7x = 17x

Male population in 2012 = 10x × (4/5) = 8x

Female population in 2012 = 17x – 8x = 9x

So,

Required ratio = 7x : 9x = 7 : 9

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.