Mixture & Alligations

Q.

In a bag, there are coins of 25p, 10p and 5p in the ratio 1:2:3. If there is Rs.30 in all, how many 5p coins are there?

1. 50

2. 100

3. 150

4. 200

5. none

Q.

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25$\%$. The percentage of water in the mixture is …………..

1. 20%

2. 25%

3. 30%

4. 32.5%

5. 35%

Q. A jar full of whisky contains 40% of 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:

1. $\frac{3}{5}$
2. $\frac{2}{5}$
3. $\frac{1}{3}$
   
4. $\frac{2}{3}$
   

Q.

By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%?

1. 5

2. 8

3. 10

4. 15

5. 19

Q. A trader has 50 kg of rice, a part of which he sells at 14% profit and the rest at 6% loss. On the whole his loss is 4 %. What are the quantities sold at 14% profit and that at 6% loss?

1. 5 kg and 45 kg
2. 5 kg and 55 kg
3. 5 kg and 50 kg
4. 5 kg and 40 kg
5. None of these

Q.

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is ___.

1. 28

2. 32

3. 40

4. 64

5. 56

Q. From the 50 litres of milk, 5 litres of milk is taken out and after it, 5 litres of water is added to the rest amount of milk. Again 5 litres of the mixture of milk and water is drawn out and it was replaced by 5 litres of water. If this process is continued similarly for the third time, the amount of milk left after the third replacement:

1. 42.5L
2. 45 L
3. 36.45 L
4. 40.5 L

Q. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7: 2 and 7:11, respectively. If equal quantities of the alloys are melted to from a third alloy C the ratio of gold and copper in C will be

1. 5:7
   
2. 5:9
   
3. 7 :5
   
4. 9 :5
   
   
5. None of these

Q. Some amount out of Rs 7000 was lent at 6% p.a. and the remaining at 4% p.a. If the total simple interest from both the fractions in 5 years was Rs 1600, the sum lent at 6% p.a. was:

1. Rs 5000
2. Rs 3000
3. Rs 4000
4. None of the above
5. Rs 2000

Q.

A vendor purchases binder clips at $12$ for $Rs.60.$ How many clips should h sell for $Rs.60$ to earn a profit of $20\%$?

Q.

How many litres of pure acid are there in 16 litres of a 20% solution?

1. 3.2

2. 5.6

3. None of these

4. 6.4

5. 2.4

Q. In what ratio should water and wine be mixed so that after selling the mixture at the cost price, a profit of 20% is made?

1. 1 : 5
2. 1 : 6
3. 1 : 7
4. 1 : 9
5. None of these

Q. 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?

1. 120
2. 150
3. 100
4. 300

Q. Two vessels contain a mixture of spirit and water. In the first vessel the ratio of spirit to water is 8:3 and in the second vessel, the ratio is 5:1. A 35 litre cask is filled from these vessels so as to contain a mixture of spirit and water in the ratio of 4:1. How many litres are taken from the first vessel?

1. 22 litres
2. 16.5 litres
3. 11 litres
4. 17.5 litres

Q. In what proportion must water be added to spirit to gain 20% by selling it at the cost price?

1. 4 : 5
2. None of the above
3. 2 : 5
4. 3 : 5
5. 1 : 5

Q. A milkman has two types of milk. In the first container, the percentage of milk is 80% and in the second container, the percentage of milk is 60%. If he mixes 28 litres of milk of the first container to the 32 litres of milk of the second container, then the percentage of milk in the mixture is:

1. 72.5
2. 69.33
3. 75.2
4. 63.99

Q. A vessel of capacity 80 litres, 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 55%. The initial quantity of milk and water was?

1. 50 litres and 35 litres
2. None of these
3. 50 litres and 40 litres
4. 50 litres and 30 litres
5. 50 litres and 45 litres

Q. The annual payment that will discharge a debt of Rs 47250 due 3 years, at the rate of 5% simple interest is:

1. Rs 8000
   
2. Rs 15000
   
3. Rs 12000
4. None of these
5. Rs 10000
   

Q. Pure milk costs Rs 20 per litre. After adding water the milkman sells the mixture at the rate of Rs 18 per litre, thereby making a profit of 25%. In what ratio does he mix the two ?

1. 18 : 7
2. 18 : 5
3. 12 : 7
4. 12 : 5
5. None of these

Q. A trader has 50 Kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. What is the quantity sold at 10% gain and 5% loss?

1. None of the above
2. 30 Kg, 10 Kg
3. 40 Kg, 15 Kg
4. 35 Kg, 40 Kg
5. 40 Kg, 10 Kg

Q.

A sum of money is divided among 160 males and some females in the ratio 16 : 21. Individually each male gets Rs. 4 and each female Rs. 3. The number of females is:

1. 320

2. 280

3. 40

4. 560

5. 160

Q. 1 litre of water is added to 5 litres of alcohol -water solution containing 40% alcohol strength. The strength of alcohol in the new solution will be:

1. $33\frac{2}{3}$%
2. 30%
3. 33%
4. None of these
5. $33\frac{1}{3}$%

Q. There are two vessels A and B. Vessel A is containing 40 L of pure milk and vessel B is containing 22 L of pure water . From vessel A, 8 L of milk is taken out and poured into vessel B. Then, 6L of mixture (milk and water) is taken out from vessel B and poured into vessel A. What is the ratio of the quantity of pure milk in vessel A to the quantity of pure water in vessel B?

1. 14 : 9
   
2. 24:13
   
3. 21 : 11
   
4. 14 : 5
   
5. 21 : 13

Q. 'A' sells a good to 'B' at a profit of 10% and B sells it to 'C' at a profit of 20%. Find out the resultant profit.

1. 35%
2. 20%
3. 32%
4. 23%
5. None of the above

Q. A sample of x liters from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x?___

Q.

300 gm of sugar solution has 40$\%$ sugar in it. How much sugar should be added to make it 50$\%$ in the solution?

1. 30 gm

2. 50 gm

3. 40 gm

4. 20 gm

5. 60 gm

Q. 729 ml of a mixture contains milk and water in the ratio 7:2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3 ?

1. 600 ml
2. 710 ml
3. Cannot be determined
4. 520 ml
5. None of the above

Q. Two alloys, A and B, contain silver and copper in the ratio 5 : 1 and 7 : 2, respectively. Find the ratio in which they must be mixed such that there is 80% of silver.

1. 3 : 2
2. 2 : 3
3. 1 : 3
4. 3 : 4
5. None of these

Q. A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?

1. 8.5 gals
2. 8 gals
3. 10 gals
4. 8.33 gals

Q. The average of the ages of Sumit, Krishna and Rishabh is 43 yrs and the average of the ages of Sumit, Rishabh and Rohit is 49 yrs. If Rohit is 54 yrs old, then what is Krishna's age?

1. 45 yrs
2. 24 yrs
3. 36 yrs
4. None of these
5. Cannot be determined