Mixture and Alligation Exercise 2

In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?

In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 gms mixture 15 gm. water was added, what would be the percentage of water? (weight in gms.)

Jaydeep purchased 25 kg of rice at the rate of ₹16.50 per kg and 35 kg of rice at the rate of ₹24.50 per kg. He mixed the two and sold the mixture. Approximately, at what price per kg did he sell the mixture to make 25 per cent profit?

How many kg of salt at 42 paise per kg must a man mix with 25 kg of salt at 24 paise per kg so that he may, on selling the mixture at 40 paise per kg gain 25% on the outlay?

The number of millilitres of water added to reduce 9 ml of aftershave lotion, containing 50% alcohol, to a lotion containing 30% alcohol is

An empty fuel tank to a car was filled with A type of petrol. When the tank was half empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again, it was filled with B type of petrol. At this time, what was the percentage of A type of petrol in the tank?

Five 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?

Three bars of gold, weighing 6, 5, 4 and of 15, 14, 12½ carats fineness are mixed together. What is the fineness of the compound?

How many kilograms of tea powder costing ₹31 per kg be mixed with thirty six kilograms of tea powder costing ₹43 per kg, such that the mixture when sold at ₹44 per kg gives profit of 10%?

A trader mixes 80 kg of tea at ₹15 per kg with 20 kg of tea at cost price of ₹20 per kg. In order to earn a profit of 25%, what should be the sale price of the mixed tea?

A company blends two varieties of tea from two different tea gardens, one variety costing ₹20 per kg and other ₹25 per kg, in the ratio 5 : 4. He sells the blended tea at ₹23 per kg. Find his profit percent:

In what ratio must water be mixed with milk to gain 20% by selling the mixture at cost price?

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

In what ratio must water be mixed with milk to gain 16⅔% on selling the mixture at cost price?

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

How many litres of pure alcohol must be added to 10 litres of mixture which is 15% alcohol to make a mixture which will be 25% alcohol?

How many kg of custard powder costing ₹40 kg must be mixed with 16 kg of custard powder costing ₹55 kg so that 25% may be gained by selling the mixture at ₹60 kg?

A butler stole wine from a butt of sherry which contained 32% of spirit and then replaced what he stole, by wine containing only 18% spirit. The butt was then of 24% strength only. How much of the butt had he stolen?

A chemist has 10 litres of a solution that is 10 per cent nitric acid by volume. He wants to dilute the solution to 4 per cent strength by adding water. How many litres of water must he add?