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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 742 · 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 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  2. 2.A jug has 20 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?
  3. 3.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?
  4. 4.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  5. 5.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?
  6. 6.A grocer mixes 2 kg of tea at ₹52 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  10. 10.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  11. 11.A grocer mixes 5 kg of tea at ₹111 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 4 kg of tea at ₹27 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 12 kg of tea at ₹41 per kg with 10 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹74 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.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?
  17. 17.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?
  18. 18.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A grocer mixes 11 kg of tea at ₹40 per kg with 11 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 12 kg of tea at ₹62 per kg with 12 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 6 kg of tea at ₹117 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹43 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 6 kg of tea at ₹34 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹84 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  28. 28.A grocer mixes 2 kg of tea at ₹31 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹28 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹38 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  33. 33.A grocer mixes 6 kg of tea at ₹85 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 3 kg of tea at ₹25 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹38 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A 45-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?
  37. 37.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?
  38. 38.Rice at ₹27 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  39. 39.Rice at ₹53 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 18 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 8
  2. 55
  3. 40
  4. 4
  5. 50
  6. 103
  7. 36
  8. 2
  9. 10
  10. 24
  11. 81
  12. 26
  13. 80
  14. 61
  15. 1
  16. 20
  17. 28
  18. 6
  19. 32
  20. 63
  21. 94
  22. 12
  23. 68
  24. 30
  25. 4
  26. 93
  27. 3
  28. 59
  29. 30
  30. 24
  31. 70
  32. 4
  33. 93
  34. 65
  35. 20
  36. 9
  37. 40
  38. 8
  39. 15
  40. 80

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