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- Question
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture ?
Options- A. 5 lit
- B. 10 lit
- C. 15 lit
- D. 20 lit
- Correct Answer
- 10 lit
ExplanationNumber of liters of water in 150 liters of the mixture = 20% of 150 = 20/100 x 150 = 30 liters.
P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 x (150 + P)
120 + 4P = 150 + P => P = 10 liters. - 1. How much pepsi at Rs.6 a litre is added to 15 litre of 'dew' at Rs. 10 a litre so that the price of the mixture be Rs.9 a litre?
Options- A. 5
- B. 8
- C. 10
- D. None of these Discuss
- 2. 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ?
Options- A. 360 ml
- B. 320 ml
- C. 310 ml
- D. 330 ml Discuss
- 3. From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is
Options- A. 81.92L
- B. 96L
- C. 118.08L
- D. None of these Discuss
- 4. In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained?
Options- A. 1:2
- B. 2:1
- C. 1:3
- D. 3:2 Discuss
- 5. Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk?
Options- A. 3 : 2
- B. 2 : 1
- C. 1 : 2
- D. 2 : 3 Discuss
- 6. 2/3 of a milk-water mixture was milk. There was 21 lit of the mixture. If 4 lit of water is added to it, the % of milk in the new mixture will be:
Options- A. 56
- B. 11
- C. 44
- D. 14 Discuss
- 7. A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre, then what is the profit percentage for the dealer?
Options- A. 17.2
- B. 14.4
- C. 16.6
- D. 15.5 Discuss
- 8. The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?
Options- A. 5 : 7
- B. 4 : 9
- C. 1 : 1
- D. 4 : 7 Discuss
- 9. In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?
Options- A. 38 lit
- B. 96 lit
- C. 48 lit
- D. 52 lit Discuss
- 10. A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?
Options- A. 21 litres
- B. 15 litres
- C. 23 litres
- D. 18 litres Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 5
Correct Answer: 320 ml
Explanation:
Here total parts of milk and water in the solution is 6+2 = 8 parts.
1part = 640/8 = 80
old mixture contains 6parts of milk and 2 parts of water(6:2).
To get new mixture containing half milk and half water, add 4parts of water to the old mixture then 6:(2+4) to make the ratio same.
i.e, 4 x 80 = 320 ml.
Correct Answer: 118.08L
Explanation:
The amount of petrol left after 4 operations
=
=
=
= 81.92 litres
Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres
Correct Answer: 2:1
Explanation:
Let us first calculate the cost of the price of the mixture. The selling price of the mixture is given as Rs.96 and the profit is given as 20%. So, Cost price = 100/120×96 = Rs. 80 Now, let us apply allegation method = 40 : 20 = 2 : 1
Correct Answer: 3 : 2
Explanation:
% of milk in first bottle = 64%
% of milk in second bottle = 100 - 26 = 74%
Now, ATQ
64% 74%
68%
6 4
Hence, by using allegation method,
Required ratio = 3 : 2
Correct Answer: 56
Correct Answer: 15.5
Correct Answer: 4 : 9
Correct Answer: 48 lit
Explanation:
Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.
According to given data,
4x/3x+6 =8/7
28x=24x+48
28x?24x=48
4x = 48
x = 12
Amount of juice = 4x = 4×12 = 48 litre.
Correct Answer: 21 litres
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