← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 541 · 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 ₹55 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  2. 2.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?
  3. 3.A 60-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?
  4. 4.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.A 72-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?
  6. 6.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?
  7. 7.A grocer mixes 4 kg of tea at ₹33 per kg with 4 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹30 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.Rice at ₹33 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹52 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 63-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?
  16. 16.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?
  17. 17.Rice at ₹45 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.Rice at ₹51 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.Rice at ₹28 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  21. 21.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  22. 22.A jug has 10 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?
  23. 23.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?
  24. 24.Rice at ₹73 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹54 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  27. 27.A grocer mixes 12 kg of tea at ₹74 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹63 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.A 21-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?
  30. 30.Rice at ₹42 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.Rice at ₹79 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹65 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  34. 34.A 64-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?
  35. 35.A grocer mixes 4 kg of tea at ₹108 per kg with 11 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 60-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?
  37. 37.A grocer mixes 11 kg of tea at ₹90 per kg with 2 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  40. 40.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?

Answer key

  1. 5
  2. 64
  3. 10
  4. 4
  5. 9
  6. 50
  7. 74
  8. 5
  9. 12
  10. 8
  11. 50
  12. 16
  13. 30
  14. 50
  15. 36
  16. 28
  17. 40
  18. 10
  19. 8
  20. 14
  21. 24
  22. 80
  23. 40
  24. 14
  25. 50
  26. 12
  27. 61
  28. 6
  29. 6
  30. 28
  31. 1
  32. 25
  33. 15
  34. 16
  35. 97
  36. 24
  37. 86
  38. 2
  39. 4
  40. 3

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