← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 320 · 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 grocer mixes 10 kg of tea at ₹34 per kg with 5 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 52-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?
  3. 3.A grocer mixes 6 kg of tea at ₹84 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹45 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.Rice at ₹64 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.Rice at ₹42 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.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?
  9. 9.A jug has 10 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?
  10. 10.A grocer mixes 5 kg of tea at ₹98 per kg with 5 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  12. 12.A 39-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?
  13. 13.A 40-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?
  14. 14.A 35-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?
  15. 15.Rice at ₹46 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  16. 16.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  17. 17.Rice at ₹60 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.A grocer mixes 7 kg of tea at ₹119 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  21. 21.Rice at ₹31 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹105 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 10 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?
  24. 24.Rice at ₹34 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  27. 27.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹50 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.A grocer mixes 12 kg of tea at ₹105 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A jug has 40 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 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.A 96-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?
  34. 34.Rice at ₹21 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.Rice at ₹29 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A grocer mixes 2 kg of tea at ₹92 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  38. 38.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 1 : 1?
  39. 39.A grocer mixes 5 kg of tea at ₹28 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 35
  2. 12
  3. 58
  4. 55
  5. 4
  6. 6
  7. 24
  8. 55
  9. 60
  10. 82
  11. 28
  12. 9
  13. 8
  14. 15
  15. 8
  16. 20
  17. 1
  18. 99
  19. 6
  20. 24
  21. 36
  22. 75
  23. 40
  24. 21
  25. 28
  26. 6
  27. 12
  28. 25
  29. 3
  30. 77
  31. 52
  32. 50
  33. 8
  34. 8
  35. 4
  36. 78
  37. 16
  38. 9
  39. 49
  40. 50

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