Arihant Expert Team Solutions for Exercise 1: Practice Questions

In which ratio the water must be added to milk of $Rs.10$ per liter by which the cost price of the mixture becomes $Rs. 8.50$per liter?

A mixture contains wine and water in the ratio $3 : 2$ and another mixture contains them in the ratio $4 : 5$. How many litres of the latter must be mixed with $3$litres of the former so that the resulting mixture may contain equal quantities of wine and water ?

A vessel is filled with liquid, $3$ parts of which are water and $5$ parts are of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

Two vessels A and B contain spirit and water in the ratio $5: 2$ and $7: 6$ respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration $8: 5$?

Two equal vessels are filled with the mixtures of water and milk in the ratio of $3:4$ and $5:3$ respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be?

The ratio of milk and water is $5 : 3$ in a pot and that of another pot is $2 : 3$. In which ratio these mixtures must be mixed so that the quantity of milk is the same as the quantity of water in the 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 mixed from each of the containers, so that he gets $12 \mathrm{L}$ of milk such that the ratio of water to milk is $3:5$?