Mixture and Alligation Questions

The ratio of milk and water in a pot is $3:4$. If we add $10\text{ litres}$ milk and $10\text{ litres}$ water, then the ratio becomes $4:5$. How much quantity of total mixture was present initially?

Two types of rice rates are $\text{₹ }11/\text{kg}$ and $\text{₹ }21/\text{kg}$. Find the ratio of the two types of rice to obtain a mixture of rate $\text{₹ }17/\text{kg}$.

A man bought a horse and a carriage for Rs. $80,000$. He sold the horse at a gain of $10\%$ and the carriage at a loss of $5\%$. He gained $1\%$ on his whole transaction. What is the cost price of the horse?

The ratio of quantities of sugar in which sugar costing Rs. $40/\text{kg}$ and Rs. $30/\text{kg}$. In what ratio both sugar should be mixed so that there is no gain or loss when the mixture is sold at Rs. $32/\text{kg}$?

In what ratio must the two types of tea at $\text{₹}180\text{/kg}$ and $\text{₹}280\text{/kg}$ respectively be mixed so that the obtained mixture sold at $\text{₹}320\text{/kg}$ earns a profit of $20\%$?

From a container having pure milk, 40% is replaced by water and the process is repeated thrice. At the end of the third operation, the purity of milk is:

There are two types of rice. Type 1 rice costs ₹20 per kg and type 2 rice costs ₹25 per kg. Both the rice are mixed in the ratio 2:3. Find the cost (in ₹) of the mixed rice per kg.

A borrows ₹20,000 from B and C. B lends him a certain sum of money at 25% simple interest per annum, while C lends him the remaining sum of money at 21% simple interest per annum. The total interest paid by A in one year is ₹4,500. The sum (in ₹) borrowed from B is:

A chemistry laboratory requests for a 25% solution of ferrous sulphate. A supplier has 40 millilitres of 20% solution. How many millilitres of 40% solution should be added to make it a 25% solution (correct to two decimal places)?