Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is . . . . . . . .

A tells B, "If you give me ₹400 then I shall have 5/4 times as much as you have." B tells A, "If you give me ₹200, then I shall have three and a half times as much as you have." How much does B have?

After covering five-eighth of my journey, I find that I have travelled 60 km. How much journey is left?

A building contractor employs 20 males, 15 females and 5 child workers. To a male worker he pays ₹25 per day, to a fermale worker ₹ 20 per day, to a child worker ₹ 8 per day. What is the average wage per day paid by the contractor?

A man spends 1/3 of his income on food, of the rest 1/4 on house rent and 1/5 on cloth. He still has ₹1760 left with him. Find his income.

In a linear programming problem, the number of minimum (or maximum) points attained by an objective function can be ..........

The average weight of 30 students in a class is 60 kg. When 20 new students are admitted, the average weight is reduced by 2 kg. Find the average weight of the new students.

The area of a triangle with vertices (0,0), (3,3) and (−3,3) is .........

A number gets reduced to its one-third when 48 is subtracted from it. What is two-third of that number?