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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 611 · 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 21-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?
  2. 2.A grocer mixes 5 kg of tea at ₹36 per kg with 7 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 15-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?
  4. 4.A grocer mixes 6 kg of tea at ₹21 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹60 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  6. 6.A grocer mixes 9 kg of tea at ₹21 per kg with 9 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹65 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  8. 8.A jug has 25 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?
  9. 9.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.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?
  11. 11.Rice at ₹55 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.Rice at ₹57 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.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?
  14. 14.A grocer mixes 8 kg of tea at ₹72 per kg with 6 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  16. 16.Rice at ₹32 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  18. 18.A jug has 40 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?
  19. 19.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  20. 20.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  21. 21.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  22. 22.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?
  23. 23.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?
  24. 24.Rice at ₹74 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.A grocer mixes 2 kg of tea at ₹120 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹47 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 9 kg of tea at ₹76 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹45 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 3 kg of tea at ₹115 per kg with 12 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 2 kg of tea at ₹28 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A 108-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?
  33. 33.A grocer mixes 6 kg of tea at ₹56 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 6 kg of tea at ₹113 per kg with 10 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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 : 3?
  36. 36.A grocer mixes 7 kg of tea at ₹67 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 10 kg of tea at ₹116 per kg with 5 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  39. 39.Rice at ₹62 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  40. 40.Rice at ₹73 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?

Answer key

  1. 6
  2. 43
  3. 10
  4. 38
  5. 21
  6. 49
  7. 3
  8. 50
  9. 8
  10. 60
  11. 8
  12. 20
  13. 28
  14. 66
  15. 8
  16. 8
  17. 24
  18. 40
  19. 15
  20. 12
  21. 18
  22. 25
  23. 75
  24. 24
  25. 118
  26. 44
  27. 66
  28. 50
  29. 79
  30. 76
  31. 50
  32. 9
  33. 75
  34. 98
  35. 7
  36. 55
  37. 103
  38. 6
  39. 24
  40. 4

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