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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 820 · 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 ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹75 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  3. 3.A jug has 40 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?
  4. 4.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  5. 5.A grocer mixes 5 kg of tea at ₹59 per kg with 10 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 : 4?
  7. 7.Rice at ₹24 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  8. 8.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 7 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹58 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.Rice at ₹48 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.A jug has 20 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?
  13. 13.A grocer mixes 2 kg of tea at ₹28 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹68 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  16. 16.A grocer mixes 8 kg of tea at ₹56 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 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?
  18. 18.A grocer mixes 4 kg of tea at ₹77 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 6 kg of tea at ₹111 per kg with 10 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹33 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.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?
  22. 22.A grocer mixes 7 kg of tea at ₹46 per kg with 7 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 6 kg of tea at ₹31 per kg with 12 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹59 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.Rice at ₹80 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.Rice at ₹57 per kg is mixed with rice at ₹66 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?
  27. 27.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  28. 28.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?
  29. 29.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  30. 30.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?
  31. 31.A grocer mixes 5 kg of tea at ₹39 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  33. 33.Rice at ₹68 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.Rice at ₹59 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.A 12-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?
  36. 36.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 5 : 7?
  37. 37.A grocer mixes 8 kg of tea at ₹21 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.Rice at ₹32 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.Rice at ₹68 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 20
  2. 8
  3. 60
  4. 10
  5. 49
  6. 18
  7. 8
  8. 14
  9. 36
  10. 4
  11. 3
  12. 40
  13. 82
  14. 8
  15. 8
  16. 81
  17. 50
  18. 53
  19. 66
  20. 20
  21. 40
  22. 68
  23. 25
  24. 4
  25. 21
  26. 16
  27. 4
  28. 28
  29. 8
  30. 25
  31. 36
  32. 28
  33. 3
  34. 5
  35. 6
  36. 6
  37. 35
  38. 9
  39. 5
  40. 10

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