Mixtures and Alligation

\begin{array} { l } { \text { A mixture of milk and water is in the ratio } 3 : 2 \text { Find the percentage of milk in } } \ { \text { the mixture. } } \end{array}

A dairyman pays Rs $6$.$40$ per litre of milk. He adds water and sells the mixture at Rs $8$ per litre thereby making $37.5$% profit .The propotion of water to milk received by the customer is

A shopkeeper bought $25$ Kg of rice at the rate of $Rs\;29$ per Kg and $25$ Kg of rice at the rate of $Rs\;20$ per Kg. He sold the mixture of both types of rice at the rate of $Rs\;27$ per Kg. His profit in this transaction is :

The liquids $X$ and $Y$ are mixed in the ratio of $3:2$ and the mixture is sold at $Rs\;11$ per liter at a profit of $10\%$. If the liquid $X$ costs $Rs\;2$ more per liter than $Y$, the cost of $X$ per liter is (in Rs.):

One liquid contains $ 22\dfrac{1}{2}$% of water, another 27%. A glass is filled with 5 parts of one liquid and 7 parts off the other. What is the percentage of water in the glass?

Alok bought $25$ kg of rice of Rs. $6.00$ per kg and $35$ Kg of rice at the rate of Rs. 7.00 per kg. He mixed the two and sold the mixture at the rate of Rs. $6.75$ per Kg. What was his gain or loss in this transaction?

A person has a chemical of $Rs.$ $25$ per liter. In what ratio should water be mixed in the mixture so that by selling it at $Rs.$ $20$ per liter he may get a profit of $25$ $\% ?$

A shopkeeper purchases 60$ \mathrm { kg } $ of acommodity at the rate of Rs. 5 per kg and 150 kg of the same commodity at the rate of Rs.6 per kg. He mixes thetwo and sells the mixture at the rate of $7$ Rs-per kg. What is the overall gain?

Two hundred milliliters of pure water is added to 300 milliliters of a solution which is 12% salt. What is the percentage of salt in the resulting solution?

John wants to make a $100$ ml of $5\%$ alcohol solution mixing a quantity of a $2\%$ alcohol solution with a $7\%$ alcohol solution. What is the quantity of $2\%$ he should use.

A $50$ ml after-shave lotion at $30\%$ alcohol is mixed with $30$ ml of pure water. What is the percentage of alcohol in the new solution?

CHEMISTRY You combine $2$ solution to form a mixture that is $40\%$ acid. One solution is $20\%$ acid and the other is $50\%$ acid. If you have $90$ milliliters of the mixture, how much of each solution was used to create the mixture?

A shopkeeper mixed $10$ kg of rice costing Rs. $10$ per kg with a certain quantity of another variety of rice costing Rs. $15$ per kg. He sold the mixture at the rate of Rs. $14$ per kg. What was the quantity of the second variety of rice, if he gained by $5$ $\% $?

'n' litres of oil was poured into a tank and it was still e% empty. How much oil must be poured into the tank in order to fill it to the brim?