← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 381 · 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 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 4 kg of tea at ₹31 per kg with 6 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.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?
  7. 7.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?
  8. 8.A jug has 50 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.Rice at ₹76 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  10. 10.A grocer mixes 10 kg of tea at ₹104 per kg with 6 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  12. 12.Rice at ₹64 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.Rice at ₹57 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 16 kg of the dearer rice?
  14. 14.Rice at ₹80 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.A grocer mixes 12 kg of tea at ₹112 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A jug has 50 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?
  18. 18.Rice at ₹77 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.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 : 7?
  21. 21.A jug has 40 litres of a drink that is 40% mango juice. 20 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 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  24. 24.A jug has 10 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?
  25. 25.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹68 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  28. 28.Rice at ₹29 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.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?
  30. 30.Rice at ₹75 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹87 per kg with 8 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.Rice at ₹68 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.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?
  35. 35.A grocer mixes 3 kg of tea at ₹37 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 12 kg of tea at ₹91 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 40-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?
  38. 38.Rice at ₹33 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹33 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 50
  2. 50
  3. 82
  4. 4
  5. 24
  6. 60
  7. 40
  8. 25
  9. 21
  10. 80
  11. 20
  12. 6
  13. 4
  14. 12
  15. 95
  16. 76
  17. 50
  18. 15
  19. 24
  20. 2
  21. 60
  22. 60
  23. 36
  24. 68
  25. 80
  26. 8
  27. 24
  28. 25
  29. 20
  30. 15
  31. 79
  32. 12
  33. 18
  34. 40
  35. 82
  36. 86
  37. 8
  38. 21
  39. 60
  40. 8

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