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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 703 · 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 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?
  2. 2.A grocer mixes 4 kg of tea at ₹116 per kg with 12 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.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?
  5. 5.A jug has 10 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?
  6. 6.Rice at ₹53 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  7. 7.A grocer mixes 12 kg of tea at ₹92 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹36 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  10. 10.Rice at ₹25 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  11. 11.Rice at ₹28 per kg is mixed with rice at ₹31 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?
  12. 12.Rice at ₹50 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  13. 13.Rice at ₹74 per kg is mixed with rice at ₹89 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?
  14. 14.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  16. 16.A grocer mixes 3 kg of tea at ₹114 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 4 kg of tea at ₹101 per kg with 2 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 50-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?
  19. 19.Rice at ₹58 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A jug has 20 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?
  21. 21.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?
  22. 22.A grocer mixes 6 kg of tea at ₹32 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 110-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?
  24. 24.Rice at ₹80 per kg is mixed with rice at ₹152 per kg to make a mix worth ₹112 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  25. 25.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.Rice at ₹75 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹20 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A grocer mixes 2 kg of tea at ₹91 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.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?
  33. 33.Rice at ₹77 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A jug has 40 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?
  36. 36.A grocer mixes 6 kg of tea at ₹36 per kg with 3 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹55 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A 77-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?
  40. 40.A grocer mixes 11 kg of tea at ₹92 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 98
  3. 25
  4. 50
  5. 80
  6. 35
  7. 81
  8. 1
  9. 10
  10. 9
  11. 14
  12. 14
  13. 6
  14. 6
  15. 1
  16. 118
  17. 95
  18. 10
  19. 1
  20. 40
  21. 20
  22. 36
  23. 20
  24. 40
  25. 16
  26. 21
  27. 65
  28. 36
  29. 109
  30. 40
  31. 5
  32. 50
  33. 4
  34. 9
  35. 60
  36. 39
  37. 51
  38. 60
  39. 7
  40. 71

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