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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 896 · 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 ₹38 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A 28-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?
  3. 3.Rice at ₹67 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A grocer mixes 8 kg of tea at ₹49 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹78 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  6. 6.A grocer mixes 5 kg of tea at ₹42 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹69 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  8. 8.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?
  9. 9.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  10. 10.A grocer mixes 7 kg of tea at ₹70 per kg with 7 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹65 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹35 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹77 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.Rice at ₹37 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.A 44-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?
  16. 16.A grocer mixes 3 kg of tea at ₹24 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  18. 18.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  19. 19.A jug has 20 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?
  20. 20.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  22. 22.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?
  23. 23.Rice at ₹71 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  24. 24.Rice at ₹78 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.A grocer mixes 8 kg of tea at ₹107 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹65 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A jug has 20 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?
  28. 28.A grocer mixes 8 kg of tea at ₹48 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹75 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  31. 31.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  32. 32.A 15-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?
  33. 33.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.Rice at ₹25 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 9 kg of the dearer rice?
  35. 35.A grocer mixes 2 kg of tea at ₹99 per kg with 11 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹62 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹25 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  38. 38.A grocer mixes 10 kg of tea at ₹75 per kg with 10 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹27 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 24
  2. 7
  3. 24
  4. 76
  5. 6
  6. 28
  7. 35
  8. 25
  9. 12
  10. 47
  11. 14
  12. 79
  13. 24
  14. 15
  15. 4
  16. 60
  17. 12
  18. 16
  19. 52
  20. 6
  21. 5
  22. 55
  23. 20
  24. 6
  25. 99
  26. 1
  27. 28
  28. 61
  29. 77
  30. 32
  31. 8
  32. 5
  33. 36
  34. 6
  35. 77
  36. 60
  37. 5
  38. 49
  39. 6
  40. 75

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