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. $32/\text{kg}$?

A milkman mixed water with $60\text{litres}$ of pure milk and sold the mixture at the cost price, thereby making a profit of $25\%$. Find the quantity of water in the mixture.

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 $20\%$?

A businessman blends Assam tea costing $\text{Rs. }70$ per kg with Darjeeling tea costing $\text{Rs. }110$ per kg in the ratio $3:1$. What should be the selling price per kg of the new mixture to have a profit of $12\frac{1}{2}\%$ for him?

In what ratio should Assam tea at $\text{Rs. }40$ per kg and Darjeeling tea at $\text{Rs. }65$ per kg be mixed and sold at $\text{Rs. }60$ per kg to make an overall profit of $25\%$?

Mohit went to a shop to buy $50\text{kg}$ of rice. He buys two varieties of rice which cost him $\text{Rs. }4.50$ per kg and $\text{Rs. }5$ per kg. He spends a total of $\text{Rs. }240$. What was the quantity of less expensive rice bought by him?

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

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

A man bought a horse and a carriage for $\text{Rs. }80,000$. 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?

In what ratio must a mixture of $40\%$ acid be mixed with that of $60\%$ acid to get a mixture of $49\%$ acid?

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)?

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:

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.

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: