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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 537 · 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 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹29 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A jug has 10 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?
  6. 6.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 : 8?
  7. 7.A 15-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?
  8. 8.Rice at ₹41 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  10. 10.A grocer mixes 4 kg of tea at ₹107 per kg with 8 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹29 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  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 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?
  15. 15.Rice at ₹71 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.A grocer mixes 12 kg of tea at ₹53 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 25 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?
  19. 19.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?
  20. 20.Rice at ₹47 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  21. 21.A jug has 10 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?
  22. 22.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.A grocer mixes 12 kg of tea at ₹34 per kg with 5 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 3 kg of tea at ₹39 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 77-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?
  28. 28.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  29. 29.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  30. 30.A grocer mixes 5 kg of tea at ₹78 per kg with 10 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  32. 32.Rice at ₹40 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  33. 33.Rice at ₹50 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 9 kg of tea at ₹101 per kg with 12 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹41 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  39. 39.Rice at ₹31 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 50
  2. 16
  3. 24
  4. 25
  5. 70
  6. 9
  7. 6
  8. 15
  9. 8
  10. 113
  11. 50
  12. 24
  13. 68
  14. 20
  15. 18
  16. 2
  17. 56
  18. 50
  19. 50
  20. 25
  21. 40
  22. 50
  23. 5
  24. 4
  25. 54
  26. 36
  27. 7
  28. 12
  29. 7
  30. 48
  31. 9
  32. 35
  33. 6
  34. 8
  35. 50
  36. 109
  37. 32
  38. 4
  39. 8
  40. 6

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