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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 4 · 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 20 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?
  2. 2.Rice at ₹26 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹35 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.A grocer mixes 3 kg of tea at ₹20 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹29 per kg is mixed with rice at ₹54 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?
  7. 7.Rice at ₹61 per kg is mixed with rice at ₹76 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?
  8. 8.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?
  9. 9.A grocer mixes 5 kg of tea at ₹53 per kg with 10 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  11. 11.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  12. 12.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?
  13. 13.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  14. 14.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?
  15. 15.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?
  16. 16.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?
  17. 17.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  18. 18.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  19. 19.Rice at ₹22 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  21. 21.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  23. 23.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?
  24. 24.A grocer mixes 3 kg of tea at ₹38 per kg with 11 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹65 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹72 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  28. 28.A 77-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?
  29. 29.A grocer mixes 3 kg of tea at ₹26 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 2 kg of tea at ₹37 per kg with 10 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 25-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?
  32. 32.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 4 : 3?
  33. 33.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  34. 34.A grocer mixes 6 kg of tea at ₹50 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.A grocer mixes 2 kg of tea at ₹44 per kg with 5 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 9 kg of tea at ₹53 per kg with 9 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹39 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹48 per kg with 8 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 12 kg of tea at ₹107 per kg with 12 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 28
  2. 30
  3. 42
  4. 5
  5. 68
  6. 12
  7. 4
  8. 50
  9. 69
  10. 2
  11. 24
  12. 36
  13. 6
  14. 3
  15. 70
  16. 70
  17. 12
  18. 10
  19. 6
  20. 32
  21. 5
  22. 7
  23. 2
  24. 82
  25. 20
  26. 60
  27. 4
  28. 7
  29. 62
  30. 62
  31. 5
  32. 20
  33. 8
  34. 96
  35. 50
  36. 89
  37. 79
  38. 15
  39. 50
  40. 110

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