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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 31 · 40 questions
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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 ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹68 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.A grocer mixes 4 kg of tea at ₹51 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  7. 7.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?
  8. 8.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?
  9. 9.A grocer mixes 5 kg of tea at ₹85 per kg with 12 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 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?
  11. 11.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?
  12. 12.A jug has 10 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?
  13. 13.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?
  14. 14.A grocer mixes 12 kg of tea at ₹43 per kg with 12 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  16. 16.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.Rice at ₹29 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A grocer mixes 9 kg of tea at ₹110 per kg with 9 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 24-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?
  21. 21.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?
  22. 22.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?
  23. 23.A 10-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?
  24. 24.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  26. 26.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  27. 27.Rice at ₹64 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.A grocer mixes 8 kg of tea at ₹80 per kg with 2 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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 1 : 3?
  30. 30.A grocer mixes 4 kg of tea at ₹115 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹80 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  32. 32.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  33. 33.A grocer mixes 3 kg of tea at ₹49 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 7 kg of tea at ₹34 per kg with 9 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹40 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.Rice at ₹33 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.A grocer mixes 6 kg of tea at ₹45 per kg with 9 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 6-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?
  39. 39.A grocer mixes 4 kg of tea at ₹106 per kg with 3 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹67 per kg with 8 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 18
  2. 20
  3. 8
  4. 80
  5. 64
  6. 8
  7. 55
  8. 50
  9. 73
  10. 70
  11. 60
  12. 70
  13. 20
  14. 80
  15. 4
  16. 10
  17. 18
  18. 20
  19. 88
  20. 12
  21. 36
  22. 52
  23. 8
  24. 3
  25. 20
  26. 6
  27. 5
  28. 87
  29. 15
  30. 83
  31. 14
  32. 7
  33. 73
  34. 70
  35. 6
  36. 20
  37. 81
  38. 2
  39. 112
  40. 75

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