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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 949 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.A grocer mixes 2 kg of tea at ₹23 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 5 kg of tea at ₹113 per kg with 5 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  4. 4.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  5. 5.A grocer mixes 12 kg of tea at ₹39 per kg with 12 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 8 kg of tea at ₹117 per kg with 5 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹77 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  14. 14.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  17. 17.Rice at ₹76 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A grocer mixes 12 kg of tea at ₹39 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 2 kg of tea at ₹28 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹28 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.Rice at ₹26 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  22. 22.A grocer mixes 10 kg of tea at ₹81 per kg with 5 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 11 kg of tea at ₹72 per kg with 11 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  25. 25.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 2 kg of tea at ₹105 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹72 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.Rice at ₹51 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 4 kg of tea at ₹116 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  33. 33.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.Rice at ₹25 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  37. 37.A grocer mixes 4 kg of tea at ₹94 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  39. 39.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹74 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?

Answer key

  1. 25
  2. 96
  3. 27
  4. 8
  5. 59
  6. 50
  7. 92
  8. 9
  9. 40
  10. 50
  11. 68
  12. 20
  13. 12
  14. 1
  15. 8
  16. 32
  17. 30
  18. 37
  19. 22
  20. 5
  21. 14
  22. 90
  23. 93
  24. 2
  25. 25
  26. 103
  27. 6
  28. 32
  29. 80
  30. 104
  31. 21
  32. 7
  33. 40
  34. 10
  35. 2
  36. 21
  37. 56
  38. 30
  39. 70
  40. 25

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