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
In a mixture of liquid ,1/5 part is acid 2/5 part is alcohol and the remaining part is water. If the total quantity of the mixture is 20 litres, then how much water (in litre) does the mixture contain?
In what ratio, should rice at ₹60 per kg be mixed with rice at ₹42 per kg such that by selling the mixture at ₹56 per kg there is a gain of 12%?
A vessel contains 20 litres containing milk and water in the ratio 3 : 2. Ten litres of this milk is removed and replaced with equal amount of pure milk. If this process is repeated once again, find the final ratio of milk and water.
From a container of 50 liters pure milk, 10 liters is taken out and replaced by 10 liters of water. If this process is repeated thrice, what is the ratio of water and milk finally?
Consider the following statements about a mixture and determine which of the statements is/are correct.
1. A mixture has a variable composition.
2. In compounds, the composition of each new substance is always fixed.
3. A mixture shows the properties of the constituent substances.
