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Mixture and Alligation


1. A bucket contains 60 litres of pure wine, in which some quantity is drawn off and replaced with water. This process is repeated for two times. Find the quantity drawn off each time if the final ratio of wine to water is 81 : 19?

4 litres

6 litres

3 litres

5 litres


2. In a vessel, milk and water are mixed are in ratio 4 : 1 and in a second vessel, in the ratio 5 : 4. In what proportion these two mixtures are to be mixed to get a mixture containing milk and water in the ratio 2 : 1?

5 : 3

3 : 5

6 : 5

5 : 6


3. A dairy man pays Rs 64 per litre of milk. He adds water and sells the mixture at Rs 80 per litre thereby making a profit of 37.5%. Find the ratio of the water to milk in the sold product?

1 : 15

1 : 20

1 : 12

1 : 10


4. Two bottles contains mixture of alcohol and water. First bottle contains 64% alcohol and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% alcohol?

3:2

2:1

1:2

2:3


5. One type of liquid contains 25% of acid, the other contains 20% of acid. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of acid in the new mixture?

23%

25%

27%

29%


6. A trader has 1000 Kg of wheat, part of which he sells at 5% profit and the rest at 20% profit. He gains 15% on the whole. Find how much wheat is sold at 5% profit?

600 kg

500 kg

666.66 kg

333.33 kg


7. In a container has 8 liters of milk. 2 liters of milk is removed and replaced with water. This process is repeated two times more. What amount of milk is present in the container (in litres)?

5.125

3.875

3.375

4


8. A trader mixes 36 kg of grain at Rs.26 per kg with 24 kg of grain of other variety at Rs.36 per kg and sells the mixture at Rs.33 per kg. His profit percent is:

(6) 2/3%

8%

10%

No profit, no loss


9. A grocer buys two types of rice at Rs. 18 and Rs. 12 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 17.5 per kg, 25% may be gained?

2 : 1

3 : 2

2 : 3

1 : 2


10. A shopkeeper sells milk which contains 5% water. What quantity of pure milk should be added to 10 liters of milk (containing 5% water) so that proportion of water becomes 4%?

1.5 L

1.8 L

2 L

2.5 L