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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 809 · 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 2 kg of tea at ₹60 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹50 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 25 kg of the dearer rice?
  4. 4.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 : 2?
  5. 5.A grocer mixes 2 kg of tea at ₹40 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  9. 9.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?
  10. 10.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?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.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?
  13. 13.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.A jug has 10 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?
  15. 15.A grocer mixes 3 kg of tea at ₹26 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 2 kg of tea at ₹43 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 5 kg of tea at ₹52 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.Rice at ₹65 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.Rice at ₹73 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  21. 21.A grocer mixes 11 kg of tea at ₹25 per kg with 8 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹52 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  23. 23.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹67 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  28. 28.Rice at ₹23 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A 48-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?
  30. 30.A grocer mixes 6 kg of tea at ₹53 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  32. 32.Rice at ₹62 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 12 kg of tea at ₹55 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 2 kg of tea at ₹36 per kg with 9 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  37. 37.A grocer mixes 10 kg of tea at ₹94 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.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 : 8?
  40. 40.A grocer mixes 6 kg of tea at ₹41 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 94
  2. 36
  3. 15
  4. 3
  5. 52
  6. 12
  7. 18
  8. 6
  9. 68
  10. 40
  11. 10
  12. 40
  13. 16
  14. 55
  15. 62
  16. 87
  17. 68
  18. 6
  19. 2
  20. 40
  21. 41
  22. 35
  23. 4
  24. 10
  25. 50
  26. 16
  27. 14
  28. 5
  29. 8
  30. 51
  31. 20
  32. 10
  33. 28
  34. 50
  35. 99
  36. 6
  37. 88
  38. 60
  39. 20
  40. 31

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