# Alligations and Mixtures Quiz Set 011

### 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 n1 has an average price of A1, and another sample n2 has an average price of A2, then the price of the mixture, A, is determined by the alligation formula as: n1(A - A1) = n2(A2 - A). Putting A2 = 5, A1 = 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 n1 has an average property of A1, and another sample n2 has an average property of A2, then the average property of the mixture, A, is determined by the alligation formula as: n1(A - A1) = n2(A2 - A). Putting A2 = 3, A1 = 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 n1 has an average property of A1, and another sample n2 has an average property of A2, then the average property of the mixture, A, is determined by the alligation formula as: n1(A - A1) = n2(A2 - A). Putting A2 = 12, A1 = 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?

A

13.5%.

B

15%.

C

13%.

D

17%.

Soln.
Ans: a

Quantities are equal, so answer = (15/100 + 12/100) X 100 = 27/2 = 13.5% 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