GMAT Mixture Problems

Two equal glasses filled with mixture of milk and water in the proportions of 2:1 and 1:1 respectively are emptied into a third glass. What is the proportion of milk and water in the third glass?

4 litres of a 20% solution of alcohol in water is mixed with 6 litres of an 80% solution of alcohol in water. What is the strength of alcohol in the resulting mixture?

5 litres of water is added to a certain quantity of pure milk costing $3 per litre. If, by selling the mixture at the same price as before a profit of 20% is made, what is the amount of pure milk in the mixture?

1 litre of water is added to 5 litres of a 20% solution of alcohol in water. The strength of alcohol is now?

6kgs of tea at $6 per kg and 4 kgs of tea at $7 per kg are mixed together and the mixture is sold at a 10% profit. What is the selling price per kg of mixture?.

A man went to a shop and was shown some shirts costing $100 each and some pants costing $150 each. If he had $1200 with him, what was maximum number of pants that he could have purchased, if he had also wanted to purchase some shirts and wants to spend the entire amount?

$105000 was divided between 1500 men and women so that each man got $100 and each woman $50. How many women were there?

An alloy contains copper and zinc in the ratio of 5:3 and another contains copper and tin in the ratio of 8:5. If equal weights of the two are melted together to form a new alloy, find the weight of tin per kg in the new alloy.

Two liquids are mixed in the proportion of 3:2 and the mixture is sold at $11 per litre at a 10% profit. If the 1st liquid costs $2 more per litre than the second, what does it cost per litre?

A milk vendor purchased some milk at the rate of $7.50 and after mixing 30% of water to it sold the mixture at the cost price. His profit per cent is.