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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 76 · 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 ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  4. 4.A grocer mixes 11 kg of tea at ₹120 per kg with 11 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹50 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹93 per kg with 11 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹56 per kg with 6 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 10-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?
  9. 9.Rice at ₹21 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  10. 10.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?
  11. 11.A 108-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?
  12. 12.A 25-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?
  13. 13.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?
  14. 14.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  15. 15.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹26 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.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?
  18. 18.A jug has 10 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?
  19. 19.A 60-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?
  20. 20.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.Rice at ₹55 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A jug has 40 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?
  24. 24.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 1 : 4?
  25. 25.Rice at ₹66 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹29 per kg with 9 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  28. 28.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.A grocer mixes 2 kg of tea at ₹31 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹37 per kg is mixed with rice at ₹52 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?
  33. 33.A grocer mixes 2 kg of tea at ₹71 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 2 kg of tea at ₹78 per kg with 10 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 10 kg of tea at ₹119 per kg with 2 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹20 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹97 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 12 kg of tea at ₹81 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 5
  2. 1
  3. 20
  4. 101
  5. 4
  6. 71
  7. 96
  8. 2
  9. 4
  10. 80
  11. 18
  12. 20
  13. 55
  14. 27
  15. 36
  16. 4
  17. 20
  18. 68
  19. 30
  20. 10
  21. 15
  22. 6
  23. 25
  24. 15
  25. 6
  26. 47
  27. 8
  28. 50
  29. 75
  30. 8
  31. 29
  32. 2
  33. 31
  34. 50
  35. 25
  36. 48
  37. 110
  38. 18
  39. 66
  40. 70

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