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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 178 · 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 ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹29 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  4. 4.A grocer mixes 4 kg of tea at ₹68 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹22 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.A grocer mixes 3 kg of tea at ₹70 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 40 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?
  8. 8.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  9. 9.A 60-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?
  10. 10.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  11. 11.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  12. 12.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?
  13. 13.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.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?
  15. 15.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?
  16. 16.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?
  17. 17.A 10-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?
  18. 18.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?
  19. 19.Rice at ₹35 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 40 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹89 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹47 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  22. 22.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  23. 23.A jug has 50 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?
  24. 24.A grocer mixes 10 kg of tea at ₹37 per kg with 2 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A grocer mixes 12 kg of tea at ₹89 per kg with 8 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 10 kg of tea at ₹85 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹39 per kg with 12 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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 : 9?
  30. 30.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?
  31. 31.A grocer mixes 10 kg of tea at ₹70 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 9 kg of tea at ₹116 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  34. 34.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?
  35. 35.A grocer mixes 3 kg of tea at ₹96 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹73 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  37. 37.Rice at ₹58 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.A grocer mixes 8 kg of tea at ₹109 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 10 kg of tea at ₹87 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹30 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?

Answer key

  1. 8
  2. 40
  3. 3
  4. 59
  5. 4
  6. 86
  7. 20
  8. 1
  9. 40
  10. 28
  11. 16
  12. 50
  13. 5
  14. 36
  15. 25
  16. 80
  17. 8
  18. 50
  19. 48
  20. 57
  21. 8
  22. 16
  23. 25
  24. 47
  25. 12
  26. 85
  27. 56
  28. 90
  29. 10
  30. 55
  31. 84
  32. 112
  33. 20
  34. 3
  35. 66
  36. 21
  37. 6
  38. 88
  39. 95
  40. 15

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