M. Tyra Solutions for Chapter: Alligation, Exercise 1: Exercises

$729 \mathrm{ml}$ of a mixture contains milk and water in the ratio $7 : 2$. How much more water is to be added to get a new mixture containing milk and water in the ratio $7 : 3$?

A vessel contains $56$ litres of a mixture of milk and water in the ratio $5 : 2$. How much water should be mixed with it so that the ratio of milk to water be $4 : 5$ ?

A sum of $₹39$ was divided among $45$ boys and girls. Each girl gets $50 \mathrm{P}$. whereas each boy gets one rupee. How many girls are there?

I mixed some water in pure milk and sold the mixture at the cost price of the milk. If I gained $16\frac{2}{3}\%$, in what ratio did I mix water in the milk?

In Jar A, $180$ litres milk was with $36$ litres water. Some of the mixture was taken out from Jar A and put in jar B. If after adding $6$ litres of water in the mixture, the ratio of milk to water in Jar B was $5 : 2$, then what was the amount of mixture that was taken out from Jar A (in litres)?

A jar contains a mixture of milk and water in the ratio of $3 : 1$. Now, $\frac{1}{25}$ of the mixture is taken out and $24$ litres water is added to it. If the resultant ratio of milk to water in the jar was $2 : 1$, what was the initial quantity of mixture in the jar? (in litres)

If $2 \mathrm{kg}$ of metal, of which $\frac{1}{3}$ is zinc and the rest is copper, be mixed with $3 \mathrm{kg}$ of metal, of which $\frac{1}{4}$ is zinc and the rest is copper, then what will be the ratio of zinc to copper in the mixture?

A mixture of milk and water in a jar contains $28 \mathrm{L}$ milk and $8 \mathrm{L}$ water. X L milk and X L water are added to form a new mixture. If $40\%$ of the new mixture is $20 \mathrm{L}$, then find the value of X ? (in litres)