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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 987 · 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.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.A grocer mixes 2 kg of tea at ₹94 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  7. 7.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?
  8. 8.Rice at ₹38 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  11. 11.Rice at ₹23 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  13. 13.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?
  14. 14.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  15. 15.A grocer mixes 4 kg of tea at ₹39 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹49 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  17. 17.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.Rice at ₹32 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹77 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹112 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.Rice at ₹72 per kg is mixed with rice at ₹149 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  21. 21.A jug has 10 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?
  22. 22.A grocer mixes 11 kg of tea at ₹70 per kg with 3 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 8 kg of tea at ₹75 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹28 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.Rice at ₹77 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A grocer mixes 11 kg of tea at ₹76 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  29. 29.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?
  30. 30.A grocer mixes 11 kg of tea at ₹82 per kg with 11 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 5 kg of tea at ₹67 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹23 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  34. 34.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 4 kg of tea at ₹76 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹67 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A grocer mixes 6 kg of tea at ₹75 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 14
  2. 60
  3. 20
  4. 40
  5. 25
  6. 6
  7. 36
  8. 12
  9. 36
  10. 18
  11. 16
  12. 10
  13. 68
  14. 8
  15. 42
  16. 7
  17. 3
  18. 1
  19. 24
  20. 42
  21. 60
  22. 73
  23. 75
  24. 78
  25. 6
  26. 24
  27. 82
  28. 36
  29. 25
  30. 64
  31. 64
  32. 25
  33. 4
  34. 80
  35. 61
  36. 1
  37. 50
  38. 50
  39. 64
  40. 61

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