Mixtures and Alligations

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?

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 _____.

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?

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$:$

The proportion of acid and water in $3$ Samples is $2 : 1, 3 : 2, 5 : 3$. A mixture containing equal quantities of all $3$ Samples is made.The ratio of acid and water in the mixture is ?

One type of liquid contains $25\%$ of milk, the other contains $30\%$ of milk. A container is filled with $6$ parts of the first liquid and $4$ parts of the second liquid. The percentage of milk in the mixture is _____

In what ratio must a rice at the rate of$₹7.20$ per $kg$ be mix with another rice at the rate of $₹5.70$ per $kg$. So, that the price of the mixture be $₹6.30$ per $kg$?

If $378$ coins consist of $1 \mathrm{rupees}$, $50 \mathrm{paise}$ and $25 \mathrm{paise}$ coins whose values are in the ratio of $13:11:7,$ the number of $50 \mathrm{paise}$ coins will be :

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

If $5$ litres of water are evaporated on boiling from $20$ litres of salt solution containing $20\%$ salt. The percentage of salt in the remaining solution is -

A solution of sugar syrup has $15\%$ sugar. Another solution has $5\%$ sugar. How many $\mathrm{liters}$ of the second solution must be added to $20 \mathrm{liters}$ of the first solution to make a solution of $10\%$ sugar?

The cost of 5 kg of apple is equal to the cost of 12 kg of rice. The cost of 3 kg of flour is equal to one kg of rice. The cost of one kg. of flour is RS 17.50. What is the total cost of 3 kg of apple, 2 kg of rice and 4 kg of flour together ?

A sum of Rs. $250$ is divided among $10$ students. Each boy gets Rs. $20$ where as a girl gets Rs. $30.$ Calculate the number of boys in class ?

In a $30$ litre mixture of milk and water, the ratio of milk and water is $7:3$. How much water should be added in the mixture so that the ratio of milk and water becomes $3:7$$?$

In a mixture of $20 \mathrm{ltr}.$, milk and water are in the ratio $7:3$. How much milk should be added to make the ratio$10:3$?

A can contains $40$ litres of milk at $Rs.3.5$ per litre. How much water must be added to this can so that the cost of milk reduces to $Rs.2$ per litre?

All the water in container X which was filled to its brim was poured into two containers Y and Z. The quantity of water in container Y was $62.5\%$ less than the capacity of container X. If $148$liters was now transferred from Z to Y, then both the containers would have equal quantities of water. What was the initial quantity (in litres) of water in container X?