Mixture and Alligation

Rakesh bought $40 \mathrm{kg}$ of wheat at $₹12.50 \mathrm{per} \mathrm{kg}$ and $20 \mathrm{kg}$ of wheat at $₹15.10 \mathrm{per} \mathrm{kg}$. He mixed them together. At what price should he sell the mixture to earn $10\%$ profit?

The price of rice is reduced by $5\%$. How many $\mathrm{kg}$ of rice can now be bought for the money which was sufficient to buy $50 \mathrm{kg}$ of rice earlier?

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A container contains $40 \mathrm{litres}$ of milk. From this container, $4 \mathrm{litres}$ of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

There are two vessels A and B in which the ratio of acid & water is $3:4 \mathrm{and} 5:4$ respectively. In which ratio both mixtures are mixed that in new mixture, there is half acid & half water?

In what ratio must a grocer mix two varieties of tea costing $₹15 \mathrm{per} \mathrm{kg}$ and $₹20 \mathrm{per} \mathrm{kg}$ respectively to get a mixture worth $₹16.50 \mathrm{per} \mathrm{kg}$?

A chemical solution contains $30\%$ water and $70\%$ Alkali. What quantity of water should be added to $6 \mathrm{litres}$ of solution so that the water content become $40\%$. (In $\mathrm{litre}$)

In $60 \mathrm{litres}$ of a mixture contains milk and water in the ratio $2 : 3$. If $20 \mathrm{litres}$ of water is mixed in it, find the percentage of milk in the new mixture.

A mixture contains milk and water in the ratio of $7 : 2$. On adding $6 \mathrm{litres}$ of water, the ratio of milk and water becomes $7 : 5$, then find the quantity of water in the final mixture.

A mixture contains milk and water in the ratio $3:2$. If $4 \mathrm{litres}$ of water is added to the mixture, milk and water in the mixture becomes equal. Find the quantity of milk in mixture in litres.

In what ratio must a grocer mix two varieties of tea worth$₹60$ a kg and$₹65$ a kg so that by selling the mixture at$₹68.20$ a kg he may gain $10\%$?

Two vessels A and B contain spirit and water mixed in the ratio $5 : 2$ and $7 : 6$ respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio $8 : 5$?

Rakesh bought $40 \mathrm{kg}$ of wheat at $₹12.50 \mathrm{per} \mathrm{kg}$ and $20 \mathrm{kg}$ of wheat at $₹15.10 \mathrm{per} \mathrm{kg}$. He mixed them together. At what price should he sell the mixture to earn $10\%$ profit?

Two vessels contain mixtures of spirit and water. In the first vessel, the ratio of spirit to water is $8 : 3$ and in the second, the ratio is $5 : 1$. A $35 \mathrm{litres}$ case is filled from these vessels to contain a mixture of spirit to water in the ratio $4 : 1$. How much mixture is taken from the first vessel?

A milk vendor has $2$ cans of milk. The first contains $25\%$ water and the rest milk. The second contains $50\%$ water. How much milk should he mix from each of the containers to get $12 \mathrm{litres}$ of milk such that the ratio of water to milk is $3 : 5$?

In a $48 \mathrm{ltr}.$ mixture the ratio of milk and water is $5:3.$ How much water should be added in the mixture so as the ratio will become $3:5$?

The price of the special quality of $13 \mathrm{kg}$ of wheat is $₹351$. What is the price of the same quality of $49 \mathrm{kg}$ of wheat?

In $1 \mathrm{kg}$ mixture of sand and iron, $20\%$ is iron. How much sand should be added so that the proportion of iron becomes $10\%$?

A container contains $40 \mathrm{litres}$ of milk. From this container, $4 \mathrm{litres}$ of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

A mixture of milk and water has been kept in two separate containers. The ratio of milk to water in one of the containers is $5 : 1$ and that in the other container is $7 : 2$. In what ratio should the mixtures of these two containers be added together so that the quantity of milk in the new mixture may become $80\%$?