Alligation and Mixture : Tricks and Problems

Alligations is an important chapter for IBPS exams. This technique can be applied to many other chapter of Quantitative aptitude. Today I am explain applications of Alligation method to various Quantitative Aptitude topics.

Ques 1.

Gold is 19 times as heavy as water and copper 9 times. In what ratio should these materials be mixed so that the mixture may be 15 times as heavy as water.
Solution :-

alligation examples

Ques 2.

How much chicory at Rs. 4 a kg should be added to 15 kg. of teat Rs 10 a kg. so that the mixture be worth Rs. 6.50 a kg?
Solution :-

Ques 3.

A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make water 20% in the new mixture?
Solution :-
mixture examples

Ques 4.

A sum of Rs. 6.40 is made up of 80 coins which are either 10-paise or five-paise coins. How many are of 5-p.?
Solution :-

Ques 5.

In a zoo, there are rabbits and pigeon. If heads are counted, there are 200 and if legs are counted, there are 580. How many pigeons are there?
Solution :-

Ques 6.

A man has 30,000 rupees to lend on loan. He lent some of his capital to Mohan at an interest rate of 20% per annum and the rest to Suresh at an interest rate of 12% per annum. At the end of one year he got 17% of his capital as interest. How much did he lend to Mohan?
Solution :-

Ques 7.

A vessel of 80 litre is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 53%. Find the initial quantity of milk and water.


Ques 8.

Mohan’s expenditure and savings are in the ratio os 4:1. His income increases by 20%. If his savings increase by 12%, by how much % should his expenditure increase?

Ques 9.

Mukesh earned Rs. 4000 per month. From the last month his income increased by 8%. Due to rise in prices, his expenditure also increased by 12% and his savings decreased by 4%. Find his increased expenditure and initial saving.


Ques 10.

A man has 60 pens. He sells some of these at a profit of 12% and the rest at 8% loss. On the whole, he gets a profit of 11%. How many pens were sold at 12% profit and how many 8% loss?


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