← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 65 · 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 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  2. 2.A grocer mixes 3 kg of tea at ₹106 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹32 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  4. 4.A grocer mixes 12 kg of tea at ₹36 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹28 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.Rice at ₹40 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.A grocer mixes 4 kg of tea at ₹33 per kg with 5 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  10. 10.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?
  11. 11.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.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?
  13. 13.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  14. 14.A 16-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?
  15. 15.A grocer mixes 12 kg of tea at ₹94 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  17. 17.Rice at ₹52 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 7 kg of the dearer rice?
  18. 18.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?
  19. 19.A grocer mixes 4 kg of tea at ₹50 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹20 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  22. 22.A grocer mixes 6 kg of tea at ₹64 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  24. 24.Rice at ₹80 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  25. 25.A grocer mixes 2 kg of tea at ₹90 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹70 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 10 kg of tea at ₹101 per kg with 10 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹41 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.Rice at ₹38 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.Rice at ₹22 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  32. 32.Rice at ₹40 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  34. 34.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?
  35. 35.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.Rice at ₹35 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.Rice at ₹22 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹64 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  40. 40.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 10
  2. 83
  3. 4
  4. 43
  5. 6
  6. 2
  7. 78
  8. 60
  9. 4
  10. 60
  11. 6
  12. 50
  13. 6
  14. 2
  15. 99
  16. 20
  17. 28
  18. 50
  19. 63
  20. 8
  21. 28
  22. 67
  23. 6
  24. 6
  25. 91
  26. 65
  27. 92
  28. 5
  29. 20
  30. 2
  31. 20
  32. 1
  33. 12
  34. 55
  35. 4
  36. 25
  37. 7
  38. 50
  39. 15
  40. 6

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