A tank has four inlet pipes - P1, P2, P3 and P4. The rate at which each of the pipes P1, P2 and P3 fill the tank is 2/9thof the rate at which P4 fills the tank. Find the ratio of the time taken by all the four pipes working together to fill the tank to the time taken by P4 alone to fill the tank.
Two circles with radii 30 cm and 40 cm intersect at two points P and Q. Find the length of the common chord PQ, to both circles, given that the centres of the circles are 50 cm apart.
If f(n) represents the sum of the digit(s) of n for n = 1, 2, 3, 4, …, find the remainder when f(1) + f(2) + f(3) + f(4) + … + f(100) is divided by 90.
When a producer allows 36% commission on retail price of product: he earns a profit of 8.8%. what would be the profit % if the commission is reduced by 24 %