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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 13 · 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 ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  3. 3.A grocer mixes 6 kg of tea at ₹93 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 50 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?
  5. 5.Rice at ₹79 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  6. 6.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?
  7. 7.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?
  8. 8.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  9. 9.Rice at ₹59 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  10. 10.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  12. 12.A grocer mixes 2 kg of tea at ₹120 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  14. 14.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 2 : 5?
  15. 15.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?
  16. 16.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  17. 17.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  18. 18.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  19. 19.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?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  21. 21.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?
  22. 22.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?
  23. 23.A grocer mixes 8 kg of tea at ₹118 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.Rice at ₹28 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.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?
  27. 27.A grocer mixes 8 kg of tea at ₹116 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 2 kg of tea at ₹95 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  31. 31.A grocer mixes 2 kg of tea at ₹113 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹54 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  34. 34.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.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?
  37. 37.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.Rice at ₹36 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 8 kg of tea at ₹87 per kg with 7 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 12 kg of tea at ₹63 per kg with 3 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 12
  2. 8
  3. 89
  4. 25
  5. 30
  6. 36
  7. 64
  8. 6
  9. 6
  10. 18
  11. 3
  12. 72
  13. 20
  14. 6
  15. 52
  16. 15
  17. 6
  18. 5
  19. 70
  20. 12
  21. 50
  22. 50
  23. 82
  24. 25
  25. 21
  26. 50
  27. 111
  28. 12
  29. 103
  30. 14
  31. 90
  32. 40
  33. 32
  34. 2
  35. 14
  36. 50
  37. 50
  38. 5
  39. 101
  40. 58

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