Question
Ratio of male to female population of a town in 2010
was 13:12 and total population in 2010 was 25000. If the male population is ___ and female population is ____ as compared to last year then the total population of the town becomes 27000 in 2011. The values given in which of the following options will fill the blanks in the same order in which it is given to make the above statement true: A. increased by 20%, decreased by 5% B. decreased by 10%, increased by 27.5% C. increased by 25%, increased by 10%Solution
Total male population in 2010 = ({13}/{13 + 12} x 25000 = {13/25} x 25000 = 13000) Total female population in 2010 = 25000 − 13000 = 12000 When male population is increased by 20% and female population is decreased by 5%. New male = 1.20 × 13000 = 15600
New female = 0.95 × 12000 = 11400 Total = 15600 + 11400 = 27000 So, A can be the answer. When male population is decreased by 10% and female population is increased by 27.5%. New male = 0.90 × 13000 = 11700
New female = 1.275 × 12000 = 15300 Total = 11700 + 15300 = 27000 So, B can be the answer. When male population is increased by 25% and female population is increased by 10%. New male = 1.25 × 13000 = 16250
New female = 1.10 × 12000 = 13200 Total = 16250 + 13200 = 29450 (≠27000) So, C cannot be the answer. Therefore, only A and B can be the answer. Hence, option c.
In a college election a candidate who got 40% of the total votes polled was defeated by 126 votes. Assuming that there were only two candidates in the e...
A candidate just passed by getting 150 answers correct by attempting 225 of the total questions. Find the total number of questions in the examination i...
A man spends 25% and 11% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 28% on food and 43% on en...
The number of trees in a park increases by 12% every year. If the number of trees after 2 years will be 3,136, find the current number of trees in the p...
Divya saves 45.5% of her total salary. Express the part of her savings in decimal form.
A bag contains 550 coins of 25p denomination and 1100 coins of 50p denominations. If 11% of 25p coins and 22% of 50p coins are removed, the percentage o...
Income of 'A' is Rs. 900 more than that of 'B'. Both spend 40% of their respective incomes. If the savings of 'C' is 30% of his income and is equal to ...
A number N undergoes a two-step adjustment: first, it is increased by 20%, and then it is subsequently decreased by 10% of the new value. After these ad...
Divakar spends 30% of his salary on house rent, 20% of the remaining amount on shopping, 25% of the remaining on education fees, and the rest is divided...
Ramesh’s salary is first increased by 50% and then decreased by 20%. The result is the same as Suresh’s salary increased by 25% and then reduced by...
Relevant for Exams:
