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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 816 · 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 3 kg of tea at ₹35 per kg with 12 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 18-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?
  4. 4.Rice at ₹69 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.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?
  6. 6.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 6 kg of tea at ₹72 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 50 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?
  9. 9.A grocer mixes 7 kg of tea at ₹62 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 8 kg of tea at ₹53 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹62 per kg with 5 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹74 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹114 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.Rice at ₹71 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.A grocer mixes 6 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 ₹)?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.A 99-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?
  17. 17.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?
  18. 18.A grocer mixes 9 kg of tea at ₹40 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.A grocer mixes 12 kg of tea at ₹67 per kg with 11 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹65 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A grocer mixes 12 kg of tea at ₹39 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹50 per kg is mixed with rice at ₹70 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?
  24. 24.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  25. 25.A grocer mixes 6 kg of tea at ₹48 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹39 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A jug has 50 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?
  28. 28.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 3 : 5?
  29. 29.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  30. 30.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  31. 31.A grocer mixes 12 kg of tea at ₹77 per kg with 2 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹24 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 4 kg of tea at ₹49 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹88 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹71 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹32 per kg with 8 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 91
  2. 50
  3. 18
  4. 8
  5. 70
  6. 40
  7. 67
  8. 25
  9. 74
  10. 61
  11. 47
  12. 8
  13. 48
  14. 68
  15. 12
  16. 27
  17. 70
  18. 32
  19. 6
  20. 56
  21. 32
  22. 63
  23. 15
  24. 18
  25. 42
  26. 5
  27. 50
  28. 12
  29. 9
  30. 15
  31. 83
  32. 4
  33. 36
  34. 46
  35. 15
  36. 68
  37. 6
  38. 40
  39. 4
  40. 50

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