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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 88 · 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 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?
  2. 2.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  3. 3.Rice at ₹66 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 5 kg of the dearer rice?
  4. 4.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  5. 5.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?
  6. 6.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 12 kg of tea at ₹31 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹27 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A jug has 40 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?
  10. 10.Rice at ₹64 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  11. 11.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 5 : 3?
  12. 12.A grocer mixes 9 kg of tea at ₹36 per kg with 6 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 4 kg of tea at ₹57 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹34 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  16. 16.A grocer mixes 9 kg of tea at ₹92 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 8 kg of tea at ₹49 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.A grocer mixes 8 kg of tea at ₹33 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹27 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  21. 21.A jug has 25 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?
  22. 22.A jug has 10 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?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹44 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?
  25. 25.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 12 kg of tea at ₹65 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹24 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹49 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.A 14-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?
  31. 31.A 42-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.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?
  33. 33.Rice at ₹51 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.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 : 2?
  35. 35.A grocer mixes 10 kg of tea at ₹24 per kg with 2 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 24-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?
  37. 37.A grocer mixes 6 kg of tea at ₹120 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹78 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A jug has 40 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?
  40. 40.A grocer mixes 4 kg of tea at ₹36 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 70
  2. 10
  3. 3
  4. 28
  5. 80
  6. 25
  7. 32
  8. 2
  9. 40
  10. 1
  11. 20
  12. 54
  13. 50
  14. 4
  15. 7
  16. 74
  17. 66
  18. 8
  19. 48
  20. 35
  21. 50
  22. 75
  23. 30
  24. 5
  25. 50
  26. 63
  27. 9
  28. 75
  29. 4
  30. 2
  31. 28
  32. 50
  33. 2
  34. 10
  35. 34
  36. 16
  37. 74
  38. 12
  39. 25
  40. 42

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