← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 940 · 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 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹31 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A grocer mixes 10 kg of tea at ₹31 per kg with 2 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹29 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 12 kg of the dearer rice?
  5. 5.A grocer mixes 7 kg of tea at ₹119 per kg with 7 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  8. 8.A grocer mixes 12 kg of tea at ₹105 per kg with 9 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 12 kg of tea at ₹58 per kg with 7 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹22 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.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?
  15. 15.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  16. 16.A grocer mixes 6 kg of tea at ₹95 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.Rice at ₹50 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  19. 19.A grocer mixes 12 kg of tea at ₹34 per kg with 10 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  22. 22.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹20 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹58 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.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 : 5?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A 56-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?
  28. 28.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  29. 29.Rice at ₹62 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A jug has 20 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?
  31. 31.Rice at ₹31 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.A grocer mixes 12 kg of tea at ₹45 per kg with 12 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 3 kg of tea at ₹47 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 12 kg of tea at ₹55 per kg with 3 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 18-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?
  37. 37.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  38. 38.A grocer mixes 4 kg of tea at ₹118 per kg with 8 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹106 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 50
  2. 40
  3. 38
  4. 8
  5. 81
  6. 20
  7. 20
  8. 111
  9. 72
  10. 55
  11. 15
  12. 20
  13. 80
  14. 50
  15. 40
  16. 84
  17. 20
  18. 12
  19. 29
  20. 8
  21. 9
  22. 8
  23. 51
  24. 32
  25. 6
  26. 40
  27. 32
  28. 4
  29. 9
  30. 28
  31. 5
  32. 41
  33. 65
  34. 25
  35. 66
  36. 3
  37. 10
  38. 96
  39. 96
  40. 24

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