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 $?$

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?

If $6 \mathrm{year}$are subtracted from the present age of Randheer and the remainder is divided by $18$, then the present age of his grandson Anup is obtained. If Anup is $2 \mathrm{yr}$younger to Mahesh whose age is $5 \mathrm{yr}$, what is the age of Randheer?

Vessel 'A' contains 150 litres of mixture of milk and water in the ratio of 3:1. Vessel 'B' contains 200 litres of the mixture in the ratio of 5:2. If the mixture from both the vessels are poured into vessel 'C', find the ratio of the resulting mixture.

$80$ 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?

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:

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?

In a stream running at $2 \mathrm{km}/\mathrm{hr}$ a boat goes $6 \mathrm{km}$ up-stream and back again to be the starting point after $33 \min$. Find the speed of the boat in still water?

Find the total number of students in the three classes before the increase, if the students in three classes are in the ratio $4 : 6 : 9$. If $12$ Students are increased in each class, the ratio changes to $7 : 9 : 12$.

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 ?

The expenditure and saving of an employee are in the ratio $3:2$. His income increases by $15\%$ but at the same time his expenditure also increases by $20\%$. Find increase or decrease in his savings ?

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$:$