← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 353 · 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.Rice at ₹25 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹77 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  5. 5.A grocer mixes 3 kg of tea at ₹65 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  9. 9.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?
  10. 10.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  11. 11.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  12. 12.A grocer mixes 4 kg of tea at ₹111 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹27 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.Rice at ₹61 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.A grocer mixes 10 kg of tea at ₹39 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹70 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  17. 17.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  18. 18.A grocer mixes 12 kg of tea at ₹35 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 10 kg of tea at ₹30 per kg with 10 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹72 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  21. 21.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?
  22. 22.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?
  23. 23.Rice at ₹64 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 12 kg of the dearer rice?
  24. 24.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.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?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  27. 27.Rice at ₹67 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  29. 29.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  30. 30.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  31. 31.A 18-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?
  32. 32.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?
  33. 33.A grocer mixes 12 kg of tea at ₹49 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹76 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  35. 35.Rice at ₹27 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.Rice at ₹49 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  38. 38.A grocer mixes 12 kg of tea at ₹51 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹79 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 9 kg of tea at ₹22 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 1
  2. 60
  3. 1
  4. 28
  5. 69
  6. 50
  7. 60
  8. 15
  9. 20
  10. 16
  11. 4
  12. 75
  13. 15
  14. 8
  15. 51
  16. 12
  17. 10
  18. 45
  19. 34
  20. 15
  21. 40
  22. 25
  23. 10
  24. 64
  25. 55
  26. 24
  27. 30
  28. 9
  29. 18
  30. 16
  31. 6
  32. 50
  33. 48
  34. 35
  35. 8
  36. 3
  37. 2
  38. 57
  39. 94
  40. 24

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