← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 916 · 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 8 kg of tea at ₹101 per kg with 4 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  3. 3.Rice at ₹75 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.A grocer mixes 9 kg of tea at ₹96 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹75 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  7. 7.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?
  8. 8.A grocer mixes 3 kg of tea at ₹97 per kg with 11 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 3 kg of tea at ₹29 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹56 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 80-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?
  14. 14.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?
  15. 15.Rice at ₹79 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  16. 16.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?
  17. 17.A grocer mixes 2 kg of tea at ₹96 per kg with 9 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  19. 19.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  20. 20.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  21. 21.A grocer mixes 4 kg of tea at ₹44 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 11 kg of tea at ₹82 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 36-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.Rice at ₹34 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 2 kg of tea at ₹97 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹21 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  30. 30.A grocer mixes 9 kg of tea at ₹71 per kg with 9 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹43 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.A grocer mixes 2 kg of tea at ₹31 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 40-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  34. 34.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?
  35. 35.A grocer mixes 6 kg of tea at ₹32 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 12 kg of tea at ₹25 per kg with 12 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹75 per kg is mixed with rice at ₹152 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 9 kg of tea at ₹49 per kg with 12 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 98
  2. 8
  3. 5
  4. 71
  5. 48
  6. 2
  7. 8
  8. 42
  9. 76
  10. 25
  11. 9
  12. 75
  13. 30
  14. 80
  15. 12
  16. 40
  17. 69
  18. 15
  19. 28
  20. 16
  21. 41
  22. 70
  23. 4
  24. 6
  25. 60
  26. 65
  27. 26
  28. 9
  29. 3
  30. 84
  31. 2
  32. 62
  33. 5
  34. 70
  35. 76
  36. 61
  37. 10
  38. 60
  39. 41
  40. 50

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