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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 477 · 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 ₹35 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 6 kg of tea at ₹33 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹79 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹41 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹40 per kg is mixed with rice at ₹50 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?
  7. 7.A 120-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?
  8. 8.Rice at ₹77 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 3 kg of tea at ₹83 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.Rice at ₹69 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.A grocer mixes 2 kg of tea at ₹81 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 11 kg of tea at ₹82 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.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?
  17. 17.Rice at ₹22 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  18. 18.A grocer mixes 3 kg of tea at ₹120 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹31 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A grocer mixes 12 kg of tea at ₹21 per kg with 12 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹21 per kg is mixed with rice at ₹24 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  23. 23.Rice at ₹67 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  25. 25.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?
  26. 26.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  27. 27.A grocer mixes 10 kg of tea at ₹98 per kg with 10 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 8 kg of tea at ₹40 per kg with 8 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  31. 31.A jug has 10 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?
  32. 32.A grocer mixes 12 kg of tea at ₹99 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹75 per kg is mixed with rice at ₹152 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  35. 35.A grocer mixes 3 kg of tea at ₹67 per kg with 9 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  38. 38.A grocer mixes 9 kg of tea at ₹35 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  40. 40.A 84-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?

Answer key

  1. 47
  2. 63
  3. 3
  4. 64
  5. 32
  6. 20
  7. 20
  8. 28
  9. 40
  10. 93
  11. 6
  12. 1
  13. 91
  14. 85
  15. 60
  16. 50
  17. 21
  18. 88
  19. 18
  20. 39
  21. 50
  22. 8
  23. 6
  24. 20
  25. 40
  26. 40
  27. 91
  28. 56
  29. 36
  30. 6
  31. 50
  32. 104
  33. 10
  34. 4
  35. 106
  36. 76
  37. 4
  38. 34
  39. 9
  40. 14

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