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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 803 · 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 ₹63 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.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?
  3. 3.A grocer mixes 4 kg of tea at ₹20 per kg with 8 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.A grocer mixes 2 kg of tea at ₹102 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹33 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.Rice at ₹24 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹56 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  10. 10.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  11. 11.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?
  12. 12.A grocer mixes 2 kg of tea at ₹61 per kg with 9 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A grocer mixes 6 kg of tea at ₹64 per kg with 11 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 2 kg of tea at ₹48 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  17. 17.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  19. 19.Rice at ₹46 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.A jug has 20 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?
  21. 21.A grocer mixes 6 kg of tea at ₹57 per kg with 12 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 40 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?
  23. 23.A 6-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?
  24. 24.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 24 kg of the dearer rice?
  25. 25.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  26. 26.Rice at ₹44 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.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?
  28. 28.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  29. 29.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.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 : 1?
  31. 31.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.Rice at ₹58 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 40 kg of the dearer rice?
  33. 33.A 35-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?
  34. 34.Rice at ₹31 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹20 per kg with 5 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.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?
  38. 38.Rice at ₹43 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹20 per kg with 5 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 10
  2. 80
  3. 64
  4. 25
  5. 96
  6. 6
  7. 24
  8. 2
  9. 2
  10. 6
  11. 50
  12. 43
  13. 6
  14. 75
  15. 52
  16. 18
  17. 16
  18. 6
  19. 10
  20. 70
  21. 67
  22. 52
  23. 2
  24. 8
  25. 30
  26. 20
  27. 70
  28. 10
  29. 8
  30. 10
  31. 40
  32. 24
  33. 5
  34. 2
  35. 45
  36. 1
  37. 60
  38. 2
  39. 70
  40. 32

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