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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 588 · 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 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 : 5?
  2. 2.Rice at ₹62 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.A grocer mixes 6 kg of tea at ₹24 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹113 per kg with 12 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A grocer mixes 9 kg of tea at ₹57 per kg with 11 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  8. 8.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  9. 9.A grocer mixes 12 kg of tea at ₹36 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 4 kg of tea at ₹93 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹28 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹79 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 14 kg of the dearer rice?
  13. 13.A grocer mixes 11 kg of tea at ₹23 per kg with 11 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 2 kg of tea at ₹40 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  18. 18.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?
  19. 19.A grocer mixes 2 kg of tea at ₹53 per kg with 5 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.A grocer mixes 3 kg of tea at ₹109 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.A grocer mixes 7 kg of tea at ₹77 per kg with 7 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹47 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.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?
  26. 26.A grocer mixes 8 kg of tea at ₹114 per kg with 4 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹90 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹61 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.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?
  30. 30.Rice at ₹58 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.A grocer mixes 12 kg of tea at ₹120 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  33. 33.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.A jug has 10 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?
  35. 35.Rice at ₹60 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  36. 36.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A grocer mixes 8 kg of tea at ₹60 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹100 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹43 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?

Answer key

  1. 20
  2. 2
  3. 62
  4. 63
  5. 50
  6. 46
  7. 9
  8. 40
  9. 32
  10. 84
  11. 32
  12. 21
  13. 41
  14. 48
  15. 50
  16. 68
  17. 12
  18. 50
  19. 33
  20. 21
  21. 85
  22. 15
  23. 76
  24. 8
  25. 80
  26. 87
  27. 89
  28. 9
  29. 70
  30. 6
  31. 115
  32. 30
  33. 30
  34. 70
  35. 7
  36. 2
  37. 1
  38. 68
  39. 62
  40. 12

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