← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 111 · 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 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 : 8?
  2. 2.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.A grocer mixes 10 kg of tea at ₹57 per kg with 10 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 7 kg of tea at ₹62 per kg with 7 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹71 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.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?
  7. 7.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?
  8. 8.A jug has 10 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?
  9. 9.A grocer mixes 2 kg of tea at ₹42 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹64 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  13. 13.Rice at ₹29 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  16. 16.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  17. 17.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A grocer mixes 12 kg of tea at ₹42 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 9 kg of tea at ₹83 per kg with 12 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  21. 21.A jug has 40 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?
  22. 22.A grocer mixes 7 kg of tea at ₹97 per kg with 2 kg of tea at ₹52 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 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  24. 24.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A grocer mixes 11 kg of tea at ₹106 per kg with 5 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A jug has 10 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?
  29. 29.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?
  30. 30.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?
  31. 31.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  32. 32.A grocer mixes 6 kg of tea at ₹89 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 6 kg of tea at ₹116 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹35 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.A grocer mixes 6 kg of tea at ₹59 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 9 kg of tea at ₹44 per kg with 7 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  40. 40.A 49-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?

Answer key

  1. 10
  2. 20
  3. 55
  4. 86
  5. 6
  6. 75
  7. 25
  8. 55
  9. 34
  10. 64
  11. 80
  12. 7
  13. 25
  14. 24
  15. 28
  16. 40
  17. 2
  18. 62
  19. 51
  20. 7
  21. 40
  22. 87
  23. 6
  24. 4
  25. 86
  26. 50
  27. 16
  28. 60
  29. 40
  30. 70
  31. 6
  32. 78
  33. 56
  34. 12
  35. 47
  36. 72
  37. 75
  38. 50
  39. 15
  40. 14

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