If the numerator of a fraction is increased by 200% and the denominator is increased by 400%, the resultant is 1 $1\over 20$ . What was the original fraction?

In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number ofstudents. How many sweets were there?

On a school's Annual Day sweets were to be equally distributed amongst 112 children. But on that particular day. 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get?

An order was placed for supply of carpet of breadth 3 metres, the length of carpet was 1.44 times of breadth. Subsequently the breadth and length were increased by 25 and 40 per cent respectively. At the rate of '45 per square metre, what would be the increase in the cost of the carpet?

The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 sq. metre, what is the breadth of the rectangular plot?