← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 380 · 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  4. 4.A jug has 20 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?
  5. 5.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?
  6. 6.A grocer mixes 3 kg of tea at ₹30 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.Rice at ₹63 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 5 kg of tea at ₹75 per kg with 9 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹157 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  13. 13.A grocer mixes 12 kg of tea at ₹119 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.A 32-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 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?
  17. 17.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  18. 18.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  19. 19.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  20. 20.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 5 kg of tea at ₹51 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹59 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.Rice at ₹39 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A 40-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?
  25. 25.Rice at ₹41 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  26. 26.A grocer mixes 9 kg of tea at ₹32 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 9 kg of tea at ₹56 per kg with 9 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 2 kg of tea at ₹82 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 2 kg of tea at ₹86 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 24-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?
  33. 33.Rice at ₹59 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 12 kg of the dearer rice?
  34. 34.A grocer mixes 11 kg of tea at ₹68 per kg with 9 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 2 kg of tea at ₹27 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 3 kg of tea at ₹114 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹100 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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 : 2?
  39. 39.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹31 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 40
  2. 12
  3. 3
  4. 70
  5. 75
  6. 50
  7. 36
  8. 4
  9. 48
  10. 12
  11. 48
  12. 28
  13. 115
  14. 1
  15. 24
  16. 50
  17. 8
  18. 40
  19. 15
  20. 50
  21. 95
  22. 5
  23. 20
  24. 30
  25. 30
  26. 72
  27. 25
  28. 60
  29. 49
  30. 60
  31. 92
  32. 4
  33. 15
  34. 77
  35. 53
  36. 68
  37. 92
  38. 9
  39. 50
  40. 8

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