In what ratio should sugar costing ₹40 per kg be mixed with sugar costing ₹81 per kg so that by selling the mixture at ₹57.5 per kg, there is a profit of 25%?
35 : 6
Let the cost price of the mixture be ₹x per kg. Since profit is 25%, and selling price is ₹57.5:
Cost Price = ₹57.5 ÷ 1.25 = ₹46
Now, apply alligation rule between ₹40 and ₹81 to get ₹46:
Using the formula:
Difference between high price (₹81) and mean price (₹46) = ₹35
Difference between mean price and low price (₹40) = ₹6
Hence, the required ratio = 35 : 6
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?
