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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 351 · 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 jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 6 kg of tea at ₹79 per kg with 12 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 4 kg of tea at ₹43 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 5 kg of tea at ₹53 per kg with 11 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹74 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A grocer mixes 4 kg of tea at ₹54 per kg with 9 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 5 kg of tea at ₹72 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹59 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A 49-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?
  10. 10.A grocer mixes 3 kg of tea at ₹116 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹36 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  12. 12.A grocer mixes 3 kg of tea at ₹93 per kg with 7 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 8 kg of tea at ₹115 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹37 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  15. 15.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  16. 16.Rice at ₹74 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.A grocer mixes 4 kg of tea at ₹55 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 11 kg of tea at ₹51 per kg with 5 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹72 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 4 kg of tea at ₹94 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹44 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.Rice at ₹73 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  25. 25.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  27. 27.Rice at ₹29 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  28. 28.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹49 per kg with 9 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 2 kg of tea at ₹63 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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 : 9?
  36. 36.Rice at ₹80 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  37. 37.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  38. 38.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  39. 39.A grocer mixes 9 kg of tea at ₹69 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 5 kg of tea at ₹41 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 75
  2. 85
  3. 67
  4. 64
  5. 2
  6. 81
  7. 63
  8. 10
  9. 21
  10. 66
  11. 20
  12. 107
  13. 110
  14. 40
  15. 20
  16. 8
  17. 61
  18. 56
  19. 30
  20. 40
  21. 67
  22. 15
  23. 30
  24. 8
  25. 28
  26. 20
  27. 35
  28. 36
  29. 48
  30. 6
  31. 75
  32. 30
  33. 40
  34. 45
  35. 18
  36. 16
  37. 36
  38. 2
  39. 53
  40. 89

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