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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 642 · 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 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?
  2. 2.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?
  3. 3.A grocer mixes 8 kg of tea at ₹112 per kg with 8 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹45 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  5. 5.A grocer mixes 5 kg of tea at ₹48 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹71 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.Rice at ₹24 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A jug has 40 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?
  9. 9.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹25 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  11. 11.A grocer mixes 6 kg of tea at ₹98 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  14. 14.A 20-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?
  15. 15.Rice at ₹51 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.Rice at ₹48 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  18. 18.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.A grocer mixes 2 kg of tea at ₹44 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹67 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  21. 21.Rice at ₹66 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A grocer mixes 10 kg of tea at ₹99 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 6 kg of tea at ₹86 per kg with 7 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.A grocer mixes 9 kg of tea at ₹61 per kg with 9 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  27. 27.A grocer mixes 3 kg of tea at ₹46 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A grocer mixes 11 kg of tea at ₹21 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.A jug has 20 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?
  32. 32.A grocer mixes 4 kg of tea at ₹31 per kg with 6 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 kg of tea at ₹71 per kg with 6 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹61 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 11 kg of tea at ₹61 per kg with 11 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  38. 38.Rice at ₹38 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A grocer mixes 5 kg of tea at ₹45 per kg with 6 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 50
  3. 85
  4. 10
  5. 30
  6. 20
  7. 3
  8. 28
  9. 50
  10. 48
  11. 74
  12. 30
  13. 14
  14. 12
  15. 32
  16. 15
  17. 18
  18. 12
  19. 67
  20. 6
  21. 20
  22. 73
  23. 58
  24. 10
  25. 43
  26. 27
  27. 58
  28. 55
  29. 29
  30. 2
  31. 60
  32. 70
  33. 74
  34. 7
  35. 70
  36. 64
  37. 16
  38. 24
  39. 6
  40. 75

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