Mixtures and Alligation

The % by volume of $C_{4}H_{10}$ is a gaseous mixture of $C_{4}H_{10}, CH_{4}$ and $CO$ is $40$. When $200\ ml$ of the mixture is burnt in excess of $O_{2}$, Find volume (in ml) of $CO_{2}$ produced :

Two vessels are full of milk with milk water ratio $1 : 3$ and $3 : 5$ respectively. If both are mixed in the ratio $3 : 2$, what is the ratio of milk and water in the new mixture?

A chemist has 10 liters of a solution that is 10 percent nitric acid by volume. He wants to dilute to solution to 4 percent strength by adding water. How many liters of water must he add ?

The ratio of amounts of $ H_{2}S$ needed to precipitate all the metal ions from 100 ml of $1 M \ AgNO_{3}$ and 100 ml of $ 1 M \ CuSO_{4}$ is

Nine liters of water are drawn from a container full of water and it is then filled with milk. Nine liters of mixture are drawn and the container is again filled with milk. The quantity of water now left in the container is to that of the milk in it is $16:9$. How much liquid does the container hold?

A tin of oil was $\displaystyle \frac{4}{5}$ full. When six bottles of oil were taken out and four bottles of oil were poured in it was $\displaystyle \frac{3}{4}$ full. How many bottles of oil did the tin contain initially?

A tin of oil was $\displaystyle \frac{4}{5}$ full. When 6 bottles of oil was taken out and 4 bottles of oil was poured into it it was $\displaystyle \frac{3}{4}$ full. How many bottles of oil can the tin contain?

A container is $\dfrac{1}{8}$ full of water. After $10$ cups of water are added, the container is $\dfrac{3}{4}$ full. What is the volume of the container, in cups?

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, is:

By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg, a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?

Padam purchased 30 kg of rice at the rate of Rs 17.50 per kg and another 30 kg rice at a certain rate He mixed the two and sold the entire quantity at the rate of Rs 18.60 per kg and made 20% overall profit At what price per kg did he purchased the lot of another 30 kg rice?

A trader mixes three varieties of groundnuts costing Rs 50, Rs 20 and Rs 30 per kg in the ratio 2 : 4 : 3 in terms of weight and sells the mixture at Rs 33 per kg What percentage of profit does he make?

A solution of $80$ litres contains $30\%$ alcohol. How many litres of pure alcohol must be added to this mixture so that the concentration of alcohol becomes$65\%$?

A person bought some oranges at the rate of 12 per cent rupee.He bought the same number of oranges at the rate of $8$ per rupee.He mixes both the types and sells ar $20$ for rupees $2$.In this business he bears a loss of Rs $8$.Find out how many oranges he bought in all