Arihant Expert Team Solutions for Exercise 1: Practice Questions

The ratio of milk and water is $5:3$ in a pot and that of in another pot is $2:3$. In which ratio these mixtures must be mixed, so that the quantity of milk is same as the quantity of water in new mixture?

Two vessels $P$ and $Q$ contain wine and water in the ratios of $5:2$ and $8:5$, respectively. Find the ratio in which these mixtures are to be mixed to get a new mixture containing wine and water in the ratio of $9:4?$

A milk vendor has 2 cans of milk. The first contains $25\%$ water and the rest milk. The second contains $50\%$ water. How much milk should he mix from each of the containers, so as to get $12 L$ of milk such that the ratio of water to milk is $3:5$?

Two vessels $A$ and $B$ contain milk and water mixed in the ratio $8:5$ and $5:2$, respectively. The ratio in which these two mixtures be mixed to get a new mixture containing $69 \frac{3}{13}\%$ milk, is_____

A and B are two alloys of gold and copper prepared by mixing metals in the ratio $5:3$ and $5:11$, respectively. Equal quantities of these alloys are melted to form a third alloy C. The ratio of gold and copper in the alloy C is:

From a container, full of pure milk, $20\%$ is replaced by water and this process is repeated three times. At the end of third operation, the quantity of pure milk reduces to:

A container contains $40 L$ of milk, from this container $4 L$of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

A container has $60 L$ of milk, from this container, $4 L$ of milk is taken out and replaced with water. If this process is repeated $3$ times, then quantity of milk left in container: