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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 43 · 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 ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.Rice at ₹27 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  3. 3.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  4. 4.A grocer mixes 4 kg of tea at ₹97 per kg with 12 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  7. 7.Rice at ₹57 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹34 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  10. 10.A jug has 20 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  12. 12.A grocer mixes 5 kg of tea at ₹81 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  14. 14.A grocer mixes 3 kg of tea at ₹46 per kg with 4 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹29 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  16. 16.Rice at ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 12 kg of tea at ₹36 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.A 12-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?
  22. 22.A jug has 10 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?
  23. 23.A 77-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?
  24. 24.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?
  25. 25.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?
  26. 26.A grocer mixes 8 kg of tea at ₹54 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 2 kg of tea at ₹73 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 42-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?
  29. 29.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?
  30. 30.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A 60-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?
  32. 32.A grocer mixes 3 kg of tea at ₹77 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.Rice at ₹53 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  35. 35.Rice at ₹38 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  36. 36.A 60-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?
  37. 37.Rice at ₹42 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  38. 38.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.Rice at ₹35 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  40. 40.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 5 : 8?

Answer key

  1. 15
  2. 12
  3. 18
  4. 100
  5. 8
  6. 24
  7. 1
  8. 80
  9. 28
  10. 52
  11. 6
  12. 57
  13. 5
  14. 54
  15. 1
  16. 21
  17. 36
  18. 38
  19. 55
  20. 6
  21. 12
  22. 70
  23. 28
  24. 50
  25. 70
  26. 75
  27. 69
  28. 12
  29. 60
  30. 60
  31. 15
  32. 61
  33. 76
  34. 4
  35. 12
  36. 10
  37. 15
  38. 6
  39. 7
  40. 12

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