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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 22 · 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 9 kg of tea at ₹53 per kg with 5 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A jug has 10 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 48-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?
  5. 5.A grocer mixes 7 kg of tea at ₹90 per kg with 7 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹40 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.Rice at ₹28 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  9. 9.A grocer mixes 4 kg of tea at ₹70 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 3 kg of tea at ₹20 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.A jug has 20 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?
  13. 13.A grocer mixes 4 kg of tea at ₹113 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹31 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.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?
  17. 17.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  18. 18.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?
  19. 19.A jug has 20 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A 21-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?
  21. 21.A grocer mixes 2 kg of tea at ₹87 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 11 kg of tea at ₹99 per kg with 11 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.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?
  25. 25.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  26. 26.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹30 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 9 kg of tea at ₹47 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  30. 30.Rice at ₹64 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  32. 32.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹112 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.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?
  36. 36.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  38. 38.A grocer mixes 2 kg of tea at ₹43 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹87 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹74 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 8 kg of the dearer rice?

Answer key

  1. 58
  2. 12
  3. 55
  4. 16
  5. 101
  6. 24
  7. 10
  8. 4
  9. 83
  10. 30
  11. 80
  12. 55
  13. 102
  14. 8
  15. 24
  16. 50
  17. 6
  18. 40
  19. 40
  20. 12
  21. 97
  22. 68
  23. 50
  24. 64
  25. 24
  26. 10
  27. 46
  28. 41
  29. 6
  30. 15
  31. 20
  32. 24
  33. 74
  34. 68
  35. 60
  36. 60
  37. 8
  38. 73
  39. 57
  40. 4

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