In what ratio should sugar costing ₹71 per kg be mixed with sugar costing ₹22 per kg so that by selling the mixture at ₹41.6 per kg, there is a profit of 30%?
10 : 39
The selling price of the mixture is ₹41.6, and we need a 30% profit. So the cost price of the mixture should be:
Cost Price = 41.6 / (1 + 30/100) = 41.6 / 1.3 = ₹32
The cost price per kg is a weighted average of the costs of the two types of sugar:
32 = (71x + 22y) / (x + y), where x and y are the quantities of the two types of sugar. Solving the equation gives the ratio x : y = 10 : 39.
Important Questions from Mixture Problems
If the ratio of alcohol and water in a mixture of 85 litres is 11 ∶ 6. How much water should be added to make the ratio 5 ∶ 3?
Two bottles A and B contain diluted acid. In bottle A, the amount of water is double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture(in litres) should be taken from each bottle A and B respectively in order to prepare 5 liters diluted acid containing an equal amount of acid and water?
A solution of milk and water contains milk and water in the ratio of 3 : 2. Another solution of milk and water contains milk and water in the ratio of 2 : 1. Forty litres of the first solution is mixed with 30 litre of the second solution. The ratio of milk and water in the resultant solution is:
A 70 litre mixture has liquids A and B in the ratio 5 ∶ 9. How many litres of liquid A must be added so that the ratio becomes 2 ∶ 3?
60 kg of an alloy A is mixed with 80 kg of alloy B to get a new alloy. If alloy A has zinc and copper in the ratio 7 : 5 and alloy B has zinc and copper in the ratio 3 : 7, then what is the weight of zinc in the new alloy?
