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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 928 · 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 grocer mixes 10 kg of tea at ₹96 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  3. 3.Rice at ₹25 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  4. 4.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 1 : 1?
  5. 5.A grocer mixes 6 kg of tea at ₹106 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.A 30-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?
  8. 8.A jug has 10 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?
  9. 9.A grocer mixes 4 kg of tea at ₹76 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹52 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  13. 13.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  15. 15.A grocer mixes 12 kg of tea at ₹107 per kg with 9 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 6 kg of tea at ₹99 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹44 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹65 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 6 kg of tea at ₹73 per kg with 9 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  23. 23.A jug has 20 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?
  24. 24.Rice at ₹33 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.Rice at ₹63 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  26. 26.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  28. 28.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  29. 29.Rice at ₹52 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.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?
  32. 32.A grocer mixes 11 kg of tea at ₹68 per kg with 11 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹57 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.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?
  35. 35.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?
  36. 36.A grocer mixes 8 kg of tea at ₹90 per kg with 7 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A grocer mixes 7 kg of tea at ₹24 per kg with 7 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 6 kg of tea at ₹100 per kg with 12 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹30 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 72
  2. 36
  3. 7
  4. 3
  5. 74
  6. 4
  7. 30
  8. 60
  9. 52
  10. 8
  11. 75
  12. 9
  13. 64
  14. 18
  15. 89
  16. 92
  17. 2
  18. 81
  19. 79
  20. 70
  21. 50
  22. 10
  23. 60
  24. 12
  25. 3
  26. 25
  27. 9
  28. 9
  29. 5
  30. 60
  31. 50
  32. 83
  33. 20
  34. 60
  35. 40
  36. 62
  37. 50
  38. 25
  39. 104
  40. 12

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