• 1. 
    How much rice worth price Rs. 12.85 per kg be mixed with 25 kg of rice worth Rs. 14.80 per kg so as to when they sell the rice at Rs. 16 per kg, they get a profit of 15%?

  • 30 kg
  • 35 kg
  • 40 kg
  • 45 kg
  • None of these
  • 2. 
    Radhika mixes wine with spirit. The prices of 1 litre wine and spirit are Rs. 100 and Rs. 170, respectively. How much quantity of spirit should he mix with 50 litres of wine, so that there is neither profit nor loss, if mixture is being sold at Rs. 150 per litre?

  • 121 litre
  • 125 litre
  • 127 litre
  • 130 litre
  • None of these
  • 3. 
    A box contains a total of 100 coins of 1 rupee, 50 p and 25 p denominations. Find the total number of coins of 25 p if there are a total of 49 rupees in the bag and it is known that the number of 25 p coins is \(133\frac{1}{3}\%\) more than the number of 1 rupee coins.

  • 56
  • 28
  • 24
  • 25
  • None of these
  • 4. 
    A container contained 90 litres of milk. Then 9 litres of milk was replaced by water. The process was repeated one more time. The volume of milk in container is

  • 72.0 litres
  • 72.9 litres
  • 62.9 litres
  • 63 litres
  • 81 litres
  • 5. 
    Deepak purchased 2 kg of wheat at the rate of Rs.15 per kg and 3 kg of wheat at the rate of Rs.13 per kg. He sells the mixture to his friend, so at what price per kg he should sell the mixture in order to get a earn \(33\frac{1}{3}\% \) profit on the cost price?

  • Rs. 16.35
  • Rs. 18.40
  • Rs. 17.39
  • Rs. 15.23
  • Rs. 19.00
  • 6. 
    An alloy contains copper and zinc in the ratio of 4:3 and another contains copper and tin in the ratio of 9:5. If equal weights of the two are melted together to form a new alloy, find the weight of tin per kg in the new alloy.

  • 3/14 kg
  • 5/13 kg
  • 17/28 kg
  • 5/28 kg
  • 9/28 kg
  • 7. 
    Two types of fuels costing Rs. 21/litre and Rs. 24/litre are mixed such that the average cost of the resultant mixture is Rs. 22.50/litre. What should be the amount of first fuel in the mixture if the second fuel is 30 litres?

  • 49 litres
  • 35 litres
  • 25 litres
  • 30 litres
  • 21 litres
  • 8. 
    Two containers of equal capacity are full of a mixture of oil and water. In the first, the ratio of oil to water is 4 : 7 and in the second it is 7 : 11. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of oil to water?

  • 149 : 247
  • 247 : 149
  • 143 : 241
  • 241 : 143
  • None of these
  • 9. 
    A container contains 30 liters of water. Eight liters of water is taken out and eight liters of sprit is added to the container. Again eight liters of mixture from the container is withdrawn and eight liter of spirit is added to the container. What is the ratio of water and spirit in the container?

  • 144 : 225
  • 121 : 225
  • 103 : 195
  • 225 : 108
  • None of these
  • 10. 
    Two containers are taken such that capacity of first is one tenth of second. In both of them, 3 litres of milk and 7 litres of water is added. Now, from second container, 4 litres of the mixture is taken out and added to first container. The first container gets full after this process. With a mixture of milk and water, the remaining portion of second container is to be filled so that the final ratio of milk and water in second container becomes 2:3. What should be the ratio of milk and water in the added mixture?

  • 1:3
  • 91:133
  • 271:399
  • 27:80
  • 9:31
  • 11. 
    3 litres of liquid M is taken and mixed with 5 litres of liquid N. The mixture is divided into four equal parts. In one of these parts, some amount of liquid M is added so that the ratio of M and N in this part becomes 6:5. Now, all parts are mixed back together. What will be the ratio of liquids M and N in the total mixture now?

  • 5:6
  • 3:4
  • 1:2
  • 9:10
  • 4:5
  • 12. 
    Vihaan purchased 25 kg of wheat at cost price of Rs. 18.4 per kg and 32 kg of wheat at cost price of Rs. 25.5 per kg. At what approximate price per kg should he sell the mixture to gain 20%?

  • 24.4
  • 26.8
  • 25.8
  • 27.5
  • 28.2
  • 13. 
    A merchant purchased two qualities of tea at the rate of Rs. 250 per quintal and Rs. 290 per quintal. In 150 quintals of the second quality, how much tea of the first quality should be mixed so that by selling the resulting mixture at Rs. 350 per quintal, he gains a profit of 25%?

  • 60 quintals
  • 100 quintals
  • 75 quintals
  • 50 quintals
  • 80 quintals
  • 14. 
    A Jar is filled with liquid, 4 parts of which are spirit and 5 parts of milk. What fraction of the mixture must be drawn off and replaced with spirit so that the amount of spirit and milk in the mixture may become equal?

  • 2/2
  • 1/10
  • 2/10
  • 4/1
  • None of these
  • 15. 
    A grocer purchased 25.6 kg of sugar at Rs. 12.50 per kg and mixed it with 12 kg sugar at Rs. 15 per kg. At what rate should he sell the mixture to gain 12.8 %?

  • Rs. 17 per kg
  • Rs. 15.0 per kg
  • Rs. 16.5 per kg
  • Rs. 16 per kg
  • None of these
  • 16. 
    A vessel contains a mixture of two liquids milk and water in the ratio 9 : 3. When 7 liters of mixture are drawn off and the vessel is filled with water, the ratio of milk and water becomes 8: 10. How many liters of liquid milk were initially there in the vessel?

  • 8.23
  • 11.06
  • 12.88
  • 15
  • 17.33
  • 17. 
    There are two mixtures of honey and water, the percentage of honey in them being 25% and 75% of the mixture respectively. If 2 gallons of the first are mixed with three gallons of the second, what will be the ratio of honey to water in the new mixture?

  • 11:2
  • 11:9
  • 9:11
  • 2:11
  • None of the above
  • 18. 
    Three equal jars are filled with a mixture of spirit and water. The proportion of spirit to water in each jar is 2 : 3, 3 : 4 and 4 : 5. The contents of these jars are emptied into a single vessel. What is the proportion of spirit and water in it?

  • 401 : 544
  • 37 : 51
  • 3 : 4
  • 15 : 26
  • 2 : 3
  • 19. 
    Two types of tea are mixed in the ratio of 3 : 5 to produce the first quality and if they are mixed in the ratio of 2 : 3, the second quality is obtained. How many kilograms of the first quality has to be mixed with 10 kg of the second quality so that a third quality having the two varieties in the ratio of 7 : 11 may be produced?

  • 5 kg
  • 6 kg
  • 7 kg
  • 8 kg
  • 9 kg
  • 20. 
    Soumya bought 20 kg of tea at Rs. 18 per kg and 15 kg of tea at Rs. 25 per kg. What profit did he get when he mixed the two varieties together and sold it at Rs. 30 per kg?

  • 35
  • 44.32%
  • 40.12%
  • 42.85%
  • None of these
  • 21. 
    A 25% gain is made by selling the mixture of two types of flour at Rs. 450 per kg. If the type one costing 620 per kg was mixed with 130 kg of the other, how many kilograms of the former was mixed?

  • 138 kg
  • 34.5 kg
  • 69.5 kg
  • Cannot be determined
  • None of these
  • 22. 
    Two vessels contain spirit and water mixed respectively in the ratio of 2 : 1 and 3 : 7. Find the ratio in which these are to be mixed to get a new mixture in which the ratio of spirit to water is 7: 9.

  • 5 : 11
  • 3 : 5
  • 5 : 6
  • 2 : 1
  • None of the above
  • 23. 
    A and B are two alloys of bronze and platinum prepared by mixing metals in the ratio of 4 : 3 and 9 : 5, respectively. If equal quantities of alloys A and B are melted to form a third alloy C, then find the ratio of bronze and platinum in C.

  • 19 : 25
  • 17 : 11
  • 9 : 7
  • 22 : 13
  • 12 : 29
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