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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 986 · 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 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?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  4. 4.Rice at ₹36 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A grocer mixes 2 kg of tea at ₹96 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 1 : 1?
  7. 7.A jug has 40 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?
  8. 8.A grocer mixes 10 kg of tea at ₹28 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  10. 10.A grocer mixes 7 kg of tea at ₹120 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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 3 : 5?
  12. 12.A grocer mixes 9 kg of tea at ₹63 per kg with 9 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  14. 14.A grocer mixes 4 kg of tea at ₹56 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 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?
  16. 16.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 2 : 1?
  17. 17.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?
  18. 18.A grocer mixes 6 kg of tea at ₹117 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.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?
  22. 22.A grocer mixes 7 kg of tea at ₹118 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹67 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  25. 25.A grocer mixes 4 kg of tea at ₹22 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹44 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  27. 27.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 : 8?
  28. 28.A grocer mixes 12 kg of tea at ₹31 per kg with 12 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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 2 : 1?
  30. 30.Rice at ₹76 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 2 kg of tea at ₹78 per kg with 9 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹65 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.Rice at ₹43 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  34. 34.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.Rice at ₹54 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹109 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 5 kg of tea at ₹65 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹26 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹62 per kg with 5 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?

Answer key

  1. 52
  2. 18
  3. 12
  4. 3
  5. 84
  6. 16
  7. 40
  8. 40
  9. 12
  10. 80
  11. 24
  12. 48
  13. 18
  14. 83
  15. 60
  16. 2
  17. 60
  18. 95
  19. 50
  20. 12
  21. 70
  22. 88
  23. 40
  24. 7
  25. 27
  26. 40
  27. 6
  28. 29
  29. 9
  30. 30
  31. 105
  32. 48
  33. 2
  34. 32
  35. 42
  36. 97
  37. 41
  38. 6
  39. 68
  40. 24

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