← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 198 · 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 ₹34 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.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 7 : 8?
  3. 3.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?
  4. 4.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.A grocer mixes 11 kg of tea at ₹49 per kg with 2 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹27 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 9 kg of the dearer rice?
  7. 7.Rice at ₹48 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A grocer mixes 4 kg of tea at ₹61 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹26 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹114 per kg with 2 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.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?
  14. 14.A 42-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?
  15. 15.A grocer mixes 4 kg of tea at ₹90 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 48-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?
  17. 17.Rice at ₹50 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.Rice at ₹20 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹36 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 12 kg of the dearer rice?
  20. 20.Rice at ₹64 per kg is mixed with rice at ₹68 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?
  21. 21.A grocer mixes 6 kg of tea at ₹46 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹37 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹49 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  24. 24.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  25. 25.A grocer mixes 3 kg of tea at ₹112 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹49 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹24 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  30. 30.A jug has 50 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?
  31. 31.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?
  32. 32.Rice at ₹64 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹112 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹23 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.Rice at ₹58 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  37. 37.Rice at ₹72 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  40. 40.A grocer mixes 4 kg of tea at ₹24 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 4
  3. 70
  4. 25
  5. 59
  6. 3
  7. 5
  8. 66
  9. 16
  10. 94
  11. 36
  12. 7
  13. 40
  14. 12
  15. 60
  16. 8
  17. 2
  18. 1
  19. 9
  20. 2
  21. 40
  22. 68
  23. 7
  24. 14
  25. 99
  26. 6
  27. 41
  28. 25
  29. 8
  30. 50
  31. 25
  32. 25
  33. 68
  34. 60
  35. 8
  36. 21
  37. 12
  38. 32
  39. 27
  40. 47

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