The ratio of the students of one school is 3: 5 with the students of the other school, if in the first school there were 50 students more and in the second there were 80 students less then the ratio would be 5: 6. Find the total number of students in both schools.

A man sells two chairs at Rs. 120 each and by doing so he gains 25% on one chair and loses 25% on the other. His loss on the whole in Rs.is

Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 10 hours – pipe A, B, C together can fill the same tank in 12 hours. In how many hours pipe C can fill the tank alone?

A and B working together, can do a piece of work in $$ {4{1\over 2}}$$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $$ {2{1\over 4}}$$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?

Speed of a man in still water is 15 kmph , while river is flowing with a speed of 3 kmph and time taken to cover a certain distance upstream is 3 hours more than time taken to cover the same distance downstream . Find the distance.

Vinayak bought an item and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs.390 more, he would have had a profit of 20%, find the cost price of item.

Two numbers are in the ratio of 3: 5. If 9 be subtracted from each, then they are in the ratio of 12: 23. Find the numbers. 

Δ ABC is a right angled triangle whose angle A is right angled. Which side needs to bisect to form two other right angled triangles?