A and B are inversely proportional to each other and are positive. If A increases by 100%, then B decreases by

Twelve men and 5 women can complete a work in 2 days whereas 4 men and 3 women can complete the same work in 5 days. In how many days can 8 men complete the work?

Four pipes A, B, C and D can fill a tank with water in 15, 20, 30 and 60 hours respectively. Pipe A is opened at 4 a.m., B at 5 a.m., C at 6 a.m. and D at 7 a.m. When is the tank filled up completely?

In a 120 litre of solution of Acid and water, acid is 75%. A person takes out 20 litres of this solution and added 16.2 litres of acid and 3.8 litres of water in the remaining solution. What is the percentage of water in the final solution?

If a person travels at a speed of 40 km/h he will reach his destination on time. He covered half the journey in \(\frac{2}{3}\) of the time. At what speed (in km/h) should he travel to cover the remaining journey to reach the destination on time?

The number of children in a camp is x and their average weight is 20 kg. If 5 children each weighing 12 kg, join the camp or if 10 children each weighing 21 kg leave the camp, the average weight in both the cases remain the same. The value of x is

The parallel sides of a trapezium shaped field are 25 m and 10 m and non parallel sides are 14 m and 13 m. What is the area (in m\(^2\)) of the field?

Reshma sells an article to Rekha at 37.5% profit, Rekha sells it to Madhu at \(9\frac{1}{11}\)% profit. Again Madhu sells it to Mitu at 25% loss. If Mitu pays Rs. 342 for the article, then what is the cost price of the article to Reshma?

\(x^2(a - b) + a^2(b - x) + b^2(x - a)\) is factored as