← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 86 · 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 ₹36 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 2 kg of tea at ₹84 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 8 kg of tea at ₹85 per kg with 8 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  5. 5.Rice at ₹23 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹78 per kg with 6 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹52 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  8. 8.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  11. 11.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.A grocer mixes 7 kg of tea at ₹48 per kg with 8 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  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 : 6?
  17. 17.Rice at ₹72 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  18. 18.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.Rice at ₹56 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹53 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.A grocer mixes 2 kg of tea at ₹30 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A grocer mixes 2 kg of tea at ₹49 per kg with 7 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 12 kg of tea at ₹105 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹56 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.A grocer mixes 11 kg of tea at ₹92 per kg with 9 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹27 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.Rice at ₹49 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  29. 29.A grocer mixes 2 kg of tea at ₹73 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹20 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹86 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹64 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.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?
  34. 34.A jug has 40 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?
  35. 35.A jug has 40 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?
  36. 36.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  37. 37.A 81-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?
  38. 38.A grocer mixes 12 kg of tea at ₹41 per kg with 4 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 20 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?
  40. 40.Rice at ₹40 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 58
  2. 46
  3. 58
  4. 9
  5. 6
  6. 93
  7. 2
  8. 50
  9. 24
  10. 21
  11. 2
  12. 50
  13. 50
  14. 72
  15. 10
  16. 30
  17. 15
  18. 3
  19. 1
  20. 25
  21. 45
  22. 64
  23. 84
  24. 90
  25. 12
  26. 74
  27. 12
  28. 14
  29. 47
  30. 24
  31. 68
  32. 8
  33. 50
  34. 28
  35. 52
  36. 18
  37. 18
  38. 49
  39. 70
  40. 25

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