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?

$80$ 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 $7:5$?

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 _____.

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:

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?

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?

There were two different iron alloys of total weight $50 \mathrm{kg}$. The first contains $40\%$ less iron than the second. Determine the percentage of iron in the first alloys, if it is known that there were $6 \mathrm{kg}$ of iron in the first alloy and $12 \mathrm{kg}$ in the second ?

In what ratio must a grocer mix two varieties of pulses costing $₹ 15$  and$₹ 20 /kg$  Rs. 20 per kg respectively so as to get a mixture worth$₹ 16.50kg$  Rs. 16.50 kg $?$

In what proportion may three kinds of wheat bought at Rs. $8$, Rs.$10$ and Rs.$14$ be mixed to produce a mixture. Which would earn $25\%$ on selling it at Rs. $15$ $/\mathrm{kg}$. ?

In what ratio must $25\%$ hydrochloric acid be mixed with $60\%$ hydrochloric acid to get a mixture of $40\%$ hydrochloric acid ?

How much water should be added to $175 litre$of milk at $₹ 8.00 per litre$ so as to have a mixture worth $₹7.00 per litre$ ?

After $30 litres$ of water was evaporated from a solution of salt and water which had $15\%$salt, the remaining solution had $20\%$salt. The quantity of the salt is -

In an alloy of brass, the ratio of copper to zinc is $7:4$. If $6 \mathrm{kg}$ of zinc be added in $33 \mathrm{kg}$of such a quality of brass, then the new ratio of copper to zinc is$:$