Q1.

In a college, the students in Science and Commerce faculties were in the ratio of 9 : 7, respectively. If 9 more students joined the Science faculty and 6 students left the Commerce faculty, the ratio of students in the Science and Commerce faculties becomes 12 : 5, respectively. How many students were there in both faculties together initially?

Q2.

Two persons X and Y deposited the same amount ₹P for the same the rate of interest compounded yearly and half yearly for two years and one year, respectively. If the difference of their interests is ₹0.1075P, then find the rate of interest.