A number increased by   $$22{1 \over 2}\%$$ gives 98 as result. The number is: 

In a college the number of students studying Arts, Commerce and Science are in the ratio of 3:5:8 respectively. If the number of students studying Arts, Commerce and Science is increased by 20%, 40%, and 25% respectively, what will be the new ratio of students in Arts, Commerce and Science respectively?

In an election between two candidates, the candidate getting 60 % of the votes polled, is elected by a majority of 14, 000 votes. The number of votes obtained by the winning candidates is 

There are 500 students in a school out of which 60% are boys. 40% of the boys play hockey and girls don’t play hockey. 75% of the girls play badminton. If there are only two games to be played, number of students who don’t play any game.

A money - lender, lends a part of his money at 10 % per annum and the rest at 15 % per annum. His annual income is 1,900. However, if he had interchanged rate of interest on the two sums, he would have earn 200 more. The amount lent will fatch what amount at 15 % ? 

Ravi had five subjects in his final examination. The maximum marks in each subject are 100. If his percentage in four subjects is 80, and he scores 65 marks in the fifth subject, determine his overall percentage for the five subjects.