← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 110 · 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 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.A grocer mixes 4 kg of tea at ₹46 per kg with 12 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹68 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A grocer mixes 10 kg of tea at ₹81 per kg with 10 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹80 per kg with 10 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 3 kg of tea at ₹90 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 36-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?
  9. 9.A grocer mixes 4 kg of tea at ₹42 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  11. 11.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  13. 13.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  14. 14.Rice at ₹31 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  16. 16.A grocer mixes 6 kg of tea at ₹110 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹36 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.Rice at ₹63 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 3 kg of the dearer rice?
  19. 19.A grocer mixes 3 kg of tea at ₹79 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.A jug has 25 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?
  22. 22.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  23. 23.A 24-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 6 kg of tea at ₹108 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  27. 27.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  28. 28.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.Rice at ₹73 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹118 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  33. 33.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.Rice at ₹24 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.Rice at ₹72 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹63 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  39. 39.Rice at ₹73 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  40. 40.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 5
  2. 49
  3. 35
  4. 64
  5. 100
  6. 70
  7. 93
  8. 18
  9. 45
  10. 6
  11. 75
  12. 12
  13. 6
  14. 24
  15. 27
  16. 79
  17. 6
  18. 4
  19. 98
  20. 27
  21. 50
  22. 6
  23. 8
  24. 86
  25. 60
  26. 4
  27. 9
  28. 3
  29. 3
  30. 3
  31. 110
  32. 16
  33. 20
  34. 1
  35. 1
  36. 50
  37. 18
  38. 4
  39. 21
  40. 75

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude