← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 276 · 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 grocer mixes 6 kg of tea at ₹108 per kg with 9 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  3. 3.Rice at ₹35 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 2 kg of the dearer rice?
  4. 4.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  5. 5.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 4 : 3?
  6. 6.Rice at ₹24 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.Rice at ₹34 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 35 kg of the dearer rice?
  8. 8.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  9. 9.A grocer mixes 2 kg of tea at ₹27 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A grocer mixes 8 kg of tea at ₹110 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹39 per kg with 2 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  15. 15.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  16. 16.Rice at ₹70 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.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?
  18. 18.A jug has 20 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.Rice at ₹73 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.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?
  22. 22.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 12 kg of the dearer rice?
  23. 23.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A grocer mixes 3 kg of tea at ₹70 per kg with 6 kg of tea at ₹88 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. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 8 kg of tea at ₹26 per kg with 6 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 24-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?
  28. 28.A grocer mixes 9 kg of tea at ₹83 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹85 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A grocer mixes 11 kg of tea at ₹95 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.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 : 5?
  36. 36.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?
  37. 37.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  38. 38.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 10 kg of tea at ₹57 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹49 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 105
  2. 21
  3. 1
  4. 6
  5. 16
  6. 2
  7. 7
  8. 3
  9. 25
  10. 50
  11. 91
  12. 72
  13. 80
  14. 28
  15. 3
  16. 12
  17. 25
  18. 52
  19. 4
  20. 3
  21. 75
  22. 15
  23. 9
  24. 82
  25. 20
  26. 32
  27. 12
  28. 92
  29. 12
  30. 76
  31. 55
  32. 89
  33. 25
  34. 75
  35. 40
  36. 50
  37. 30
  38. 40
  39. 83
  40. 76

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