• #### 1.  Two types of rice worth Rs 126 per kg and Rs 135 per kg are added with a third type of rice in the ratio 1 : 1 : 2. If the mixture is worth Rs 153 per kg, the price of the third type of rice is:

• Rs 175.5 per kg
• Rs 150.5 per kg
• Rs 225 per kg
• Rs 135.5 per kg
• None of these
• #### 2.  In what ratio should the rice costing 18 Rs/kg be mixed with the rice costing 14 Rs/kg to find a profit of 25% by selling the mixture at 20 Rs/kg?

• 2 : 1
• 1 : 1
• 1 : 3
• 3 : 4
• None of these
• #### 3.  From a container of wine, a man stole 15 litres of wine and replaced it with the same quantity of water. He again repeated the same process. Thus in three attempts, the ratio of water and wine becomes 169 : 343. The initial amount of wine in the container was:

• 130 litres
• 140 litres
• 120 litres
• 90 litres
• None of these

• 124 kg
• 136 kg
• 126 kg
• 123 kg
• 122 kg
• #### 5.  729 litres of a mixture contains sprit and water in the ratio 7 : 2. How much water is to be added to get a new mixture containing spirit and water in the ratio 7 : 3?

• 60 l
• 81 l
• 92 l
• 120 l
• None of these
• #### 6.  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?

• 18 : 7
• 18 : 9
• 12 : 7
• 12 : 11
• None of these
• #### 7.  A container contains a mixture of two liquids ‘P’ and ‘Q’ in the ratio of 7 : 5. When 9 litres of mixture is drawn off and then the container is filled with the same amount of 'Q', then the ratio of ‘P’ and ‘Q’ becomes 7 : 9. How many litres of liquid ‘P’ was contained by the container initially?

• 27 litres
• 21 litres
• 31 litres
• 42 litres
• None of these
• #### 8.  60 kg of certain variety of sugar at Rs 32 per kg is mixed with 48 kg of another variety of sugar and the mixture is sold at the average price of Rs 28 per kg. If there be no profit or loss due to the new sale price, then the price of the second variety of sugar is:

• Rs 23 per kg
• Rs 83 per kg
• Rs 43 per kg
• Rs 28 per kg
• None of these
• #### 9.  A bottle of whisky contains 3/4 of whisky and the rest water. How much of the mixture must be taken away and substituted by equal quantity of water so as to have half whisky and half water?

• 25%
• 45%
• $$33\frac{1}{3}\%$$
• 50%
• 35%
• #### 10.  A tin contains a mixture of coke and pepsi in the ratio of 7 : 3 and another tin contains the coke and pepsi in the ratio of 5 : 4. In what proportion should the solution of the two tins be mixed to achieve a perfect proportion of 2 : 1 (in which coke is 2 times of pepsi)?

• 11 : 4
• 10 : 3
• 12 : 5
• 11 : 7
• None of these
• #### 11.  A 50 liters solution contained alcohol and water in the ratio 3 ∶ 2. 15 liters of mixture was spilled by the servant and to avoid being scolded, he replaced the that spilled amount but with pure alcohol. What is the ratio of alcohol and water in mixture?

• 2 ∶ 1
• 18 ∶ 7
• 36 ∶ 13
• 1 ∶ 3
• None of these
• #### 12.  How many kg of pure salt must be added to 25 kg of a 5% solution of salt and water to increase it to a 12% solution: to

• $$7\frac{2}{3}kg$$
• 1.99 kg
• 1.5 kg
• $$11\frac{1}{3}$$ kg
• 4 kg
• #### 13.  A mixture A (20 liters) and B (40 liters) with water: milk ratio 1 : 1 and 2 : 3 respectively. If A and B are mixed, find the new water to milk ratio.

• 17 : 13
• 13 : 17
• 13 : 15
• 15 : 13
• None of these
• #### 14.  Three vessels whose capacities are as 5 : 3 : 2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are 3 : 2, 2 : 1 and 3 : 1 respectively. Find the percentage of water in the new mixture obtained when one-third of first, half of second and two-third of the third vessel is taken out and mixed together.

• 66.66%
• 50%
• 16.66%
• 33.33%
• None of these
• #### 15.  In three vessels each of 20 liters capacity, a mixture of milk and water is filled. The ratios of milk and water are 3 : 1, 2 : 3 and 4 : 1 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

• 2 : 3
• 1 : 4
• 39 : 21
• 31 : 29
• None of these

• 4
• 3
• 1
• 2
• 5
• #### 17.  Total quantity of the juice and water in a mixture are in the ratio 7 : 5. When 15 liters of water are added to it, the ratio of juice and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is :

• 35 liters
• 40 liters
• 60 liters
• 96 liters
• Cannot be determined
• #### 18.  In the mixture of 60 L the ratio of acid and water is 2 : 1 respectively. If the ratio of acid and water is to be 1 : 2, then the amount of water (in liters) to be added to the mixture is:

• 75 L
• 60 L
• 50 L
• 45 L
• None of these
• #### 19.  How many kg of salt at 42 paise per kg must a man mix with 25 kg of salt at 24 paise per kg so that he may, on selling the mixture at 40 paise per kg gain 25% on the outlay?

• 15 kg
• 18 kg
• 20 kg
• 24 kg
• None of these

• 16
• 23
• 33
• 25
• 28
• #### 21.  60 kg of certain variety rice at Rs 32 per kg is mixed with 48 kg of another variety of rice and the mixture is sold at the average price of Rs 28 per kg if there be no profit and no loss due to the new selling price, what is the price of the second variety of rice?

• Rs 46 per kg
• Rs 28 per kg
• Rs 38 per kg
• Rs 23 per kg
• None of these
• #### 22.  The milk seller adds water to milk worth Rs. 11 per litre. In what ratio should he mix to get a mixture of cost of Rs. 8.80 per litre?

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

• 32.5
• 34.5
• 35
• 37.5
• 39
• #### 24.  729 ml of a mixture contains milk and water in the ratio of 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3?

• 81 ml
• 710 ml
• 520 ml
• 460 ml
• None of these
• #### 25.  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

• 2/5
• 1/3
• 2/3
• 3/5
• None of these
• #### 26.  A mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in the ratio 4 : 5. How many litres of the latter must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of wine and water?

• $$5\frac{2}{5}$$ litre
• $$5\frac{2}{3}$$ litre
• $$4\frac{1}{2}$$ litre
• $$3\frac{3}{4}$$ litre
• None of these
• #### 27.  What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels of equal capacity in the ratios 4 : 1, 5 : 2 and 6 : 1 respectively?

• 166 : 22
• 83 : 22
• 83 : 44
• 22 : 83
• None of these
• #### 28.  13.8 litres are removed from a cask full of wine containing 83.9 litres and is then filled with water. 13.8 litres of mixture is again withdrawn from the container. What quantity of wine is now left in the cask?

• 57.58
• 58.57
• 59.57
• 57.59
• Cannot be determined
• #### 29.  A vessel is full of mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off, and the vessel is filled up with water. The proportion of spirit is now found to be $$15\frac{1}{9}\%$$. How much does the vessel hold ?

• 30 litres
• 60 litres
• 90 litres
• 120 litres
• None of these

• 1.33 litre
• 0.44 litre
• 0.55 litre
• 0.33 litre
• 0.43 litre
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