← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 729 · 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 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 : 4?
  2. 2.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?
  3. 3.A grocer mixes 6 kg of tea at ₹71 per kg with 10 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 40 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?
  5. 5.A grocer mixes 6 kg of tea at ₹91 per kg with 7 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 4 kg of tea at ₹118 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹74 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  9. 9.A jug has 10 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?
  10. 10.A grocer mixes 9 kg of tea at ₹23 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹39 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  13. 13.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.Rice at ₹58 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  17. 17.A grocer mixes 12 kg of tea at ₹48 per kg with 11 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  19. 19.A grocer mixes 4 kg of tea at ₹85 per kg with 4 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹71 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.A jug has 20 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?
  22. 22.A grocer mixes 6 kg of tea at ₹32 per kg with 5 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  24. 24.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  25. 25.A jug has 40 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?
  26. 26.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 5 : 7?
  27. 27.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?
  28. 28.Rice at ₹76 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹39 per kg with 9 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 2 kg of tea at ₹35 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹51 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.Rice at ₹23 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A grocer mixes 10 kg of tea at ₹51 per kg with 10 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 20 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 12 kg of tea at ₹68 per kg with 9 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 28-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?
  39. 39.A jug has 40 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?
  40. 40.A grocer mixes 2 kg of tea at ₹55 per kg with 5 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 3
  2. 60
  3. 86
  4. 25
  5. 63
  6. 88
  7. 6
  8. 28
  9. 70
  10. 37
  11. 15
  12. 18
  13. 12
  14. 10
  15. 5
  16. 36
  17. 37
  18. 7
  19. 100
  20. 4
  21. 40
  22. 72
  23. 5
  24. 10
  25. 60
  26. 32
  27. 28
  28. 6
  29. 42
  30. 73
  31. 60
  32. 4
  33. 4
  34. 2
  35. 73
  36. 60
  37. 89
  38. 4
  39. 36
  40. 85

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