Mixture and Alligation Questions

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 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:

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 $25\%$?

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?

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.