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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 39 · 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 ₹56 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A grocer mixes 8 kg of tea at ₹120 per kg with 8 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A grocer mixes 9 kg of tea at ₹26 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  6. 6.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.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?
  8. 8.A 42-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?
  9. 9.A grocer mixes 10 kg of tea at ₹110 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  11. 11.A jug has 25 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?
  12. 12.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?
  13. 13.A jug has 40 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?
  14. 14.A grocer mixes 6 kg of tea at ₹74 per kg with 3 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 7 kg of tea at ₹112 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹111 per kg with 4 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 11 kg of tea at ₹68 per kg with 5 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹68 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A grocer mixes 7 kg of tea at ₹81 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹73 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  21. 21.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  22. 22.Rice at ₹55 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.A grocer mixes 2 kg of tea at ₹52 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹56 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.Rice at ₹50 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  27. 27.A grocer mixes 5 kg of tea at ₹119 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹33 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  29. 29.Rice at ₹40 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  30. 30.A grocer mixes 4 kg of tea at ₹118 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹24 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.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?
  34. 34.A grocer mixes 5 kg of tea at ₹43 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 11 kg of tea at ₹50 per kg with 3 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹77 per kg with 3 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹61 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  38. 38.A grocer mixes 2 kg of tea at ₹39 per kg with 6 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 6 kg of tea at ₹26 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?

Answer key

  1. 20
  2. 96
  3. 36
  4. 30
  5. 4
  6. 2
  7. 60
  8. 28
  9. 91
  10. 8
  11. 50
  12. 20
  13. 28
  14. 72
  15. 75
  16. 114
  17. 63
  18. 15
  19. 76
  20. 36
  21. 14
  22. 5
  23. 42
  24. 76
  25. 20
  26. 6
  27. 86
  28. 30
  29. 7
  30. 112
  31. 16
  32. 36
  33. 70
  34. 58
  35. 56
  36. 74
  37. 12
  38. 90
  39. 46
  40. 6

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