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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 132 · 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 ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A grocer mixes 2 kg of tea at ₹102 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  5. 5.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?
  6. 6.A grocer mixes 4 kg of tea at ₹56 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹36 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.A grocer mixes 6 kg of tea at ₹36 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹48 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  10. 10.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  11. 11.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  13. 13.Rice at ₹20 per kg is mixed with rice at ₹44 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?
  14. 14.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  15. 15.A jug has 10 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?
  16. 16.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?
  17. 17.A grocer mixes 8 kg of tea at ₹66 per kg with 8 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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 : 9?
  19. 19.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.A grocer mixes 9 kg of tea at ₹106 per kg with 12 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹52 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  23. 23.Rice at ₹38 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A grocer mixes 11 kg of tea at ₹45 per kg with 11 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 11 kg of tea at ₹114 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  27. 27.A grocer mixes 2 kg of tea at ₹103 per kg with 7 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 6 kg of tea at ₹86 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹43 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.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?
  34. 34.Rice at ₹35 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  35. 35.A grocer mixes 2 kg of tea at ₹117 per kg with 4 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.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?
  38. 38.A 6-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?
  39. 39.Rice at ₹64 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A 81-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?

Answer key

  1. 6
  2. 82
  3. 1
  4. 32
  5. 55
  6. 55
  7. 48
  8. 63
  9. 24
  10. 12
  11. 3
  12. 5
  13. 40
  14. 8
  15. 60
  16. 40
  17. 57
  18. 8
  19. 30
  20. 98
  21. 12
  22. 36
  23. 6
  24. 70
  25. 101
  26. 20
  27. 96
  28. 80
  29. 80
  30. 25
  31. 50
  32. 75
  33. 28
  34. 40
  35. 89
  36. 60
  37. 70
  38. 6
  39. 2
  40. 27

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