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Mixture and Alligation : 27.03.2024

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Question 1

A bag contains ₹5 and ₹10 coins for a total of 40 coins and a total amount of ₹310 . What is the difference between the amount made up of all ₹10 coins and the amount made up of all ₹5 coins?

Question 2

Wheat worth Rs.80 per kg and Rs.50 per kg is mixed with a third variety in the ratio 123 . If the mixture is worth Rs.75 per kg, then the price of the third variety per kg will be equal to:

Question 3

The average salary per head of all the workers in a workshop is ₹8,850. If the average salary per head of 9 technicians is ₹10,000, and the average salary per head of the rest is ₹7,780, find the total number of workers in the workshop.(Consider integral part only)

Question 4

Vessels A and B contain solutions of acid and water. The ratio of acid and water in vessel A is 7: 5 and that in vessel B is 11: 13. Four litres of solution from vessel A is mixed with 5 litres of solution from vessel B. What is the ratio of acid and water in the mixture?

Question 5

If 80 liters of a milk solution has 60% milk in it, then how much milk should be added to make the concentration of milk 80% in the solution?

Question 6

Champa buys type 1 sugar at ₹45 per kg. He mixes it with type 2 sugar having a price of ₹48 per kg. The final mixture becomes worth ₹46 per kg. What is the ratio of the quantities of type 1 sugar to type 2 sugar in the final mixture?

Question 7

A shopkeeper bought 60 kg of rice at Rs. 42 per kg and mixed it with 120 kg rice at Rs. 52 per kg. At what rate (Rs. Per kg) should he sell the mixture to gain 20 %?

Question 8

In a mixture of 75 litres, the ratio of milk to water is 3 : 2. If the ratio is to be 1 : 2, how much of water should be added?

Question 9

In what ratio must a grocer mix two varieties of pulses costing ₹15 and ₹20 per kg, respectively, so as to get a mixture worth ₹18 per kg?

Question 10

There are two types of milk. The price of one type of milk is ₹70/litre and the price of other type of milk is ₹50/litre. If the two types of milk are mixed, the price of new mixture will be ₹55/litre. Find the ratio of the two types of milk in this new mixture.

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Mar 27SSC & Railway