In what ratio should sugar costing ₹78 per kg be mixed with sugar costing ₹36 per kg so that by selling the mixture at ₹86.8 per kg, there is a profit of 24%?
34 : 8
Let the ratio of the two types of sugar be x : y. The cost of the mixture = (78x + 36y)/(x + y). For a 24% profit, the selling price should be 1.24 times the cost price. So, 1.24 × [(78x + 36y)/(x + y)] = 86.8. Solving this equation will give the ratio x : y = 34 : 8, i.e., Option 2.
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?
