Abhijit Guha Solutions for Chapter: Alligation and Mixture, Exercise 2: Practice Problems Level 2

The ratio of spirit and water in three containers of equal capacity is $3:2,\frac{1}{3}:\frac{1}{7}$ and $11:4$, respectively. The three containers are mixed together. What is the ratio of spirit and water together?

Two casks of $48$ and $42 \mathrm{L}$ are filled with mixtures of wine and water, the proportions in the two casks being respectively $13:7$ and $18:17$. If the contents of the two casks are mixed and $20 \mathrm{L}$ of water is added to the whole, what will be the proportion of wine to water in the final mixture?

A barrel contains a mixture of wine and water in the ratio $3:1$. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes $1:1$?

A person buys two computers for $₹ 80,000/-$. He sells one at a loss of $10$ per cent and the other at $30$ per cent gain and in the whole he gains $₹ 4,000/-$. The cost price of the $2\mathrm{nd}$ computer is

A jar contains a mixture of orange juice and water in the ratio of $22:3. 50 \mathrm{L}$ of mixture was taken out and $25 \mathrm{L}$ of water was added to it. If water was $34$ per cent in the resultant mixture, what was the initial quantity of the mixture in the jar?

$30 \mathrm{L}$ of pure water was mixed with $150 \mathrm{L}$ of milk. $30 \mathrm{L}$ of this mixture was then sold and some more quantity of pure milk and pure water was added in the ratio of $5:6$. If the final quantity of milk was $500$ per cent of the initial quantity of water, then what was the quantity of pure water that was added?

A tub has $300 \mathrm{L}$ of alcohol and $60 \mathrm{L}$ of water. If _____ $\mathrm{L}$ of mixture is taken from the tub and _____ $\mathrm{L}$ of water is added to the remaining mixture, then the final mixture of the alcohol in the tub becomes $205 \mathrm{L}$ more than the amount of water in it. Which of the following integral values given in the options are possible in the blanks in same order?

(A) $40, 14$     (B) $36, 11$     (C) $23, 20$     (D) $30, 15$     (E) $24, 19$

From cylinder A containing $108 \mathrm{L}$ of mixture of water and alcohol in the ratio of $8:1$, $36 \mathrm{L}$ of the mixture is taken out and poured into cylinder B in which the ratio of water to alcohol is $3:1$. If difference between total water and total alcohol in cylinder B is $60 \mathrm{L}$, then find the quantity of initial mixture in cylinder B in $\mathrm{L}$.