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### Question 1

A 200 liter mixture of milk and water contains 64% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

**A**

56 liter.

**B**

57 liter.

**C**

55 liter.

**D**

59 liter.

**Soln.**

**Ans: a**

The volume of milk will remain same at ${64 × 200}/100$ = 128 liters. The amount of water at present is 200 - 128 = 72 liters. We need to make the volume of water equal to that of the milk. So we have to add 128 - 72 = 56 liters of water.

### Question 2

Two types of petrols having the prices per liter as Rs. 13 and Rs. 5 are mixed in the ratio 2 : 14. What is the price of the mixture per liter?

**A**

Rs. 6 per liter.

**B**

Rs. 7 per liter.

**C**

Rs. 5 per liter.

**D**

Rs. 9 per liter.

**Soln.**

**Ans: a**

If a sample n_{1} has an average price of A_{1}, and another sample n_{2} has an average price of A_{2}, then the price of the mixture, A, is determined by the alligation formula as: n_{1}(A - A_{1}) = n_{2}(A_{2} - A). Putting A_{2} = 5, A_{1} = 13, n1 = 2, n2 = 14, we have 2 × (A - 13) = 14 × (5 - A), from where we get A = Rs. 6 per liter.

### Question 3

An electronics shop sold 8 TV sets at a 8% profit, and 2 Coolers at 3% profit. What is the average percentage profit earned by the shop?

**A**

7%.

**B**

8%.

**C**

6%.

**D**

10%.

**Soln.**

**Ans: a**

We shall use the alligation formula. If a sample n_{1} has an average property of A_{1}, and another sample n_{2} has an average property of A_{2}, then the average property of the mixture, A, is determined by the alligation formula as: n_{1}(A - A_{1}) = n_{2}(A_{2} - A). Putting A_{2} = 3, A_{1} = 8, n1 = 8, n2 = 2, we have 8 × (A - 8) = 2 × (3 - A), from where we get A = 7%. *The "property" in the alligation formula could be percentage, speed, weight, price, etc.,*

### Question 4

A milkman has 3 liters of 2% curd, and 2 liters of 12% curd. If he mixes equal quantities of the two curd samples, then what is the percentage curd in the mixture?

**A**

6%.

**B**

7%.

**C**

5%.

**D**

9%.

**Soln.**

**Ans: a**

We shall use the alligation formula. If a sample n_{1} has an average property of A_{1}, and another sample n_{2} has an average property of A_{2}, then the average property of the mixture, A, is determined by the alligation formula as: n_{1}(A - A_{1}) = n_{2}(A_{2} - A). Putting A_{2} = 12, A_{1} = 2, n1 = 3, n2 = 2, we have 3 × (A - 2) = 2 × (12 - A), from where we get A = 6%. *The "property" in the alligation formula could be percentage, speed, weight, price, etc.,*

### Question 5

A milkman has 12 liters of 15% curd, and 6 liters of 12% curd. If he mixes equal quantities of the two curd samples, then what is the percentage curd in the mixture?

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This Blog Post/Article "Alligations and Mixtures Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-07