CAT (QA) PYQs

A certain amount of water was poured into a 300 litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was taken out from the container which was twice the volume of water that was earlier poured into it, and water was poured to refill the container again. If the resulting solution contains 72% milk, then the amount of water, in litres, that was initially poured into the container was

A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of pouring out two-thirds the content and replacing with water is repeated three more times, then the final ratio of milk to water in the glass, is

A person buys tea of three different qualities at Rs. $800$, Rs. $500$, and Rs. $300$ per kg, respectively, and the amounts bought are in the proportion $2: 3: 5$. She mixes all the tea and sells one-sixth of the mixture at Rs. $700$ per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of $50\%$, is