← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 54 · 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 ₹42 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.A grocer mixes 10 kg of tea at ₹89 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  4. 4.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?
  5. 5.Rice at ₹46 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  7. 7.A 72-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?
  8. 8.A grocer mixes 8 kg of tea at ₹62 per kg with 10 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.Rice at ₹59 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 30 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 2 kg of tea at ₹108 per kg with 4 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  14. 14.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  15. 15.Rice at ₹77 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.A grocer mixes 12 kg of tea at ₹66 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  19. 19.Rice at ₹72 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹85 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  22. 22.Rice at ₹22 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.Rice at ₹36 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹106 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 40 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?
  26. 26.Rice at ₹71 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 3 kg of tea at ₹21 per kg with 9 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 8 kg of tea at ₹116 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 10 kg of tea at ₹56 per kg with 5 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 7 kg of tea at ₹104 per kg with 7 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A 72-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?
  34. 34.A jug has 40 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?
  35. 35.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?
  36. 36.Rice at ₹22 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  37. 37.A grocer mixes 9 kg of tea at ₹76 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹53 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A grocer mixes 5 kg of tea at ₹76 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 58
  3. 16
  4. 40
  5. 30
  6. 12
  7. 6
  8. 92
  9. 70
  10. 5
  11. 9
  12. 114
  13. 20
  14. 15
  15. 4
  16. 20
  17. 72
  18. 8
  19. 20
  20. 51
  21. 24
  22. 2
  23. 5
  24. 64
  25. 28
  26. 20
  27. 50
  28. 75
  29. 102
  30. 52
  31. 68
  32. 75
  33. 27
  34. 40
  35. 64
  36. 30
  37. 72
  38. 25
  39. 5
  40. 57

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