Mixtures and Alligations

The cost of $24$ $kg$ of sugar is$₹26,421$ $kg$ of tea is $₹252$ and $25$ litre of milk is $₹544$ what will be the cost of $11$$kg$ of sugar, $14$ $kg$ of tea and $17$ litre of milk $?$

In what proportion may three kinds to tea prices @ $₹80,₹70$ and $₹50$ per kg be mixed to produce a mixture worth $₹65$ per kg?

A merchant has $1000$$kg$ of sugar, part of which he sells at $8\%$ profit and the rest at  $18\%$ profit. He gains $14\%$ on the whole. The quantity sold at $18\%$ profit is?

The milk and water in two vessels A and B are in the ratio $4:3$ and $2:3$ respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C containing half milk and half water?

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?

$80$ Litters of a mixture contain milk and water in the ratio of $27 : 5$. How much more water is to be added to get a mixture containing milk and water in the ratio of$3: 1$ ?

The ratio of water and alcohol in two different containers is $2:3$ and $4:5$. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be $7:5$?

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?

A butler steals wine from a bottle which contained $80\%$ of spirit and he replaced it by wine containing only $32\%$ spirit. Then, the wine in bottle was of $48\%$ strength only. How much of the bottle did he steal?

In an alloy, the ratio of copper and zinc is $5:2$. If $1.250 \mathrm{kg}$ of zinc is mixed in $17 \mathrm{kg} 500 \mathrm{gm}$ of alloy, then the ratio of copper and zinc will be _____.

Hart mechanism has

From a container having pure milk, $10\%$ is replaced by water. This process was repeated thrice. At the time of the third operation, the milk that remained in the container is:

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?

In a mixture of $35$  litres, the ratio of milk and water is  $4:1$. How many litres of water must be added to make the ratio $2:3$ $?$

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

What quantity of water should be added to$3$$litres$ of $10\%$ solution of salt, so that it becomes $5\%$salt solution?

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 a company there are 75% skilled workers and remaining are unskilled. 80% of skilled workers and 20% of unskilled workers are permanent. If the number of temporary workers is 126, then what is the number of total workers?