Embibe Experts Solutions for Chapter: Arithmetic, Exercise 9: Exercise 9

A trader mixes two varieties of tea costing $₹40 per kg$and $50 per kg$in the ratio $5 : 4$. If the mixture is sold at $₹48 per kg$, what is the $gain \%$?

In what proportion water is mixed with pure milk in order to make a profit of $25\%$ by selling it at cost price?

In a courtyard, there are many chickens and goats. If heads are counted it comes to $80$ but when legs are counted it comes $220$. Find the number of chickens and goats in the courtyard$?$ 

A vessel contains mixture of liquids X and Y in the ratio 3 : 2. When 20 litres of the mixture is taken out and replaced by 20 litres of liquid Y, the ratio changes to 1 : 4. How many litres of liquid X was there initially present in the vessel ?

A trader bought 20 kg of wheat at Rs. 6•50 per kg and 30 kg of wheat at Rs. 7 per kg. He sold the mixture at a profit of Rs. 60. At what price did he sell per kg of the mixture of wheat ?

Two alloys of gold and copper are prepared by mixing in the ratio of $7:2$ and $7:11$. A third alloy is made after mixing the equal quantities of two alloys. The ratio of gold and copper is third alloy is :

From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out and was replaced by the water. Thus, the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

A vessel is filled with liquid, $3$ parts of which are water and $5$ parts 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?