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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 166 · 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 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹60 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  3. 3.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?
  4. 4.A grocer mixes 8 kg of tea at ₹90 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹63 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A 40-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?
  8. 8.A grocer mixes 8 kg of tea at ₹23 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.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?
  11. 11.A grocer mixes 5 kg of tea at ₹98 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 9 kg of tea at ₹28 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹39 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  14. 14.A 88-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?
  15. 15.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  16. 16.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?
  17. 17.A grocer mixes 9 kg of tea at ₹37 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A 27-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?
  20. 20.A grocer mixes 2 kg of tea at ₹69 per kg with 11 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 40 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?
  22. 22.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.A 40-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  24. 24.A grocer mixes 11 kg of tea at ₹37 per kg with 11 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 6 kg of tea at ₹36 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 12 kg of tea at ₹23 per kg with 10 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A grocer mixes 6 kg of tea at ₹24 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A grocer mixes 10 kg of tea at ₹66 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.A grocer mixes 6 kg of tea at ₹97 per kg with 3 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹47 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  35. 35.A grocer mixes 12 kg of tea at ₹118 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 5 kg of tea at ₹103 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 12 kg of tea at ₹107 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 10 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?
  40. 40.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 60
  2. 6
  3. 25
  4. 69
  5. 21
  6. 2
  7. 20
  8. 41
  9. 50
  10. 50
  11. 80
  12. 36
  13. 15
  14. 8
  15. 16
  16. 4
  17. 35
  18. 70
  19. 12
  20. 47
  21. 52
  22. 6
  23. 16
  24. 73
  25. 32
  26. 43
  27. 80
  28. 26
  29. 12
  30. 83
  31. 12
  32. 104
  33. 3
  34. 9
  35. 108
  36. 50
  37. 85
  38. 95
  39. 60
  40. 50

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