Mixtures and Alligation

Nupur went on a long trip with her family and carried a one-litre bottle of orange syrup filled to the brim for the journey. In the first hour, she drank 200 ml of the content in the bottle and replenished it with water. From the second hour onwards, she drank 100 ml more than the quantity drunk in the previous hour and replenished it with water. She continued doing so till she emptied the bottle. What is the total quantity of water (in litre) that she replenished in the entire process?

A certain type of juice contains water and flavoured liquid, in which flavoured liquid is 125% more than water. If 52 litres of the juice is taken out and replaced with sugar solution, then the concentration of water in the juice becomes 20%. What is the quantity of flavoured liquid in the juice after replacing with sugar solution?

There are three measuring jars 𝑋, 𝑌 and 𝑍. First, 𝑌 is filled with milk and then emptied into an empty breaker 𝑃. Next, 𝑌 and 𝑍 are both filled with water and then the contents of both the jars are emptied into another empty vessel 𝑄. Finally, 𝑋 is filled with water drawn from 𝑄. If the capacity (in litres) of 𝑋 is at least 4 and at most 8, that of 𝑌 is at least 5 and at most 12, and that of 𝑍 is at least 7 and at most 13, then the volume of milk in 𝑃 as a percentage of the volume of water in 𝑄 is at most

A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder. The same amount is again removed from mixture P and replaced with same amount of cocoa powder to form a new mixture Q. If the ratio of coffee and cocoa in the mixture Q is 16 : 9, then the ratio of cocoa in mixture P to that in mixture Q is

Rita blends two types of mixture to create a new mixture. She mixes apple juice with orange juice in the ratio 2 : 3 to prepare mixture X, and pineapple juice with orange juice in the ratio 3 : 4 to prepare mixture Y. She then combines mixtures X and Y in the ratio 5 : 7 to create a new mixture Z. If she dilutes mixture Z with an equal amount of water to make a refreshing beverage, what percentage of the refreshing beverage is orange juice?

In an experiment, a container with 80 litres of a liquid mixture has two solutions X and Y in the ratio of 3 : 5. After introducing an additional amount of solution Y into the container, the revised ratio of the two solutions becomes 3 : 7. On the removal of one-fifth of this liquid mixture, what quantity of solution X needs to be added to the remaining solution to obtain a new ratio of X and Y as 5 : 8?

There are two containers – A and B. A contains 𝑥 litres of pure orange juice only while B contains 𝑥 litres of pure water only. First, 𝑦 litres of orange juice is transferred from A to B. Then, 𝑦 litres of the mixture of orange juice and water is transferred from B to A. If the difference between the final concentrations of orange juice and water in A is 66⅔ percentage points, then, which of the following gives the final concentration of orange juice in B?