Let the weight of the pieces of diamond be x, 3x, 4x, 6x Total weight of diamond = x + 3x + 4x + 6x = 14x Price ∝ (weight)2 => Price = k(weight)2 ; where, K is constant Original price = k(14x)2 Price of pieces = (kx2 + 9kx2 + 16kx2 + 36kx2) = 62kx2 Loss in price = 196kx2 – 62kx2 = 134kx2 which is given as 100,500 => 134kx2 = 100500 => kx2 = 750 Original price = 196kx2 = 196 x 750 = 147000
Pipe ‘A’ can fill a tank in 10 hours while pipe ‘B’ can empty it in 12 hours. They were operated on alternate hours starting with pipe ‘A’. ...
A cistern has two pipes one can fill it with water in 16 hours and other can empty it in 10 hours. In how many hours will the cistern be emptied if both...
Two pipes A and B can fill a tank in 12 min., and 16 min, respectively. If both the pipes are opened simultaneously, after how much time A should be cl...
Pipe ‘A’ can fill a tank in 20 hours while pipe ‘B’ takes 40 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 1...
Pipes 'J' and 'K' can fill a tank in 12 hours and 18 hours respectively, while pipe 'L' can empty it in 36 hours. All pipes are opened together when the...
The efficiency of pipe R is 60% more than the efficiency of pipe S. Pipe Q alone can fill 30% of the empty tank in 6 hours. Pipe R alone can fill an emp...
Tap A and Tap B fill a drum of volume 648 liters in 12 minutes. If their efficiencies are in the ratio x:y respectively and B alone takes to fill the c...
An inlet can fill an empty tank in 6 hours whereas an outlet pipe can empty it in 12 hours. If (N - 1) such outlet pipes having same efficiency and (N +...
Two pipes A and B are opened together to fill a tank. Both the pipes fill the tank in time “x”. If A separately takes 8 minute more time than “x...
A tap can fill the tank in 18 hrs, but due to tank leakage the tank empties in 30 hours. What will be the time required to fill the tank by them together.
