Question
A container holds a mixture of alcohol and water in the
ratio 4:7, respectively. 25 liters of the mixture is drawn out and replaced with the same quantity of alcohol. The process is repeated once more. If the ratio of water to alcohol in the mixture is now 121:167, find the capacity of the container. (Assume the container is full)Solution
ATQ,
Let the container's capacity be C liters. Initially, alcohol and water are in the ratio 4:7. After 25 liters of the mixture is drawn out and replaced with alcohol twice, the final ratio of water to alcohol becomes 121:167. Set up the equation for water remaining after two replacements: 
Solving this equation gives C = 275 liters.
The capacity of the container is 275 liters.
Eight friends Kriti, Durga, Manasi, Surya, Tahira, Vritti, Ahana and Yoshita are sitting around an square table in such a way that four friends are sitt...
Eight friends, R, S, T, U, V, W, X and Y are sitting in a line facing north. V is sitting at one of the corners. S is sitting between Y and T. X is sitt...
Eight persons are sitting around a square shaped table such that one person is sitting at each side and one person is sitting at each corner of the tab...
Who among the following person faces Q?
Six persons J to O are sitting on a circular table at an equal distance from each other. All of them are facing towards the centre. J is sitting second ...
Which of the following pairs represent those who sit at the extreme ends of the line?
How many persons sit between K and P?
Six professional interior designers, P, N, R, S, T and U, are sitting around a hexagonal table, each at one corner, and are facing the centre of the hex...
How many persons sit between the one who sits to the immediate right of O and the one who sits to the immediate right of L?
Four doctors N, M, Q and P and four nurses A, B, C and D are sitting around a circular table facing each other. No two nurses or two doctors are sitting...
Relevant for Exams:
