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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 852 · 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 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 7 kg of tea at ₹38 per kg with 7 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹56 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A grocer mixes 8 kg of tea at ₹119 per kg with 8 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  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 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?
  10. 10.A grocer mixes 10 kg of tea at ₹71 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹36 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  12. 12.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  13. 13.Rice at ₹26 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  16. 16.A 22-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?
  17. 17.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹75 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 2 kg of tea at ₹37 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹27 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.A 50-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?
  23. 23.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 : 5?
  24. 24.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.Rice at ₹55 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A jug has 20 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?
  27. 27.A grocer mixes 4 kg of tea at ₹67 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  30. 30.A grocer mixes 4 kg of tea at ₹108 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 4 kg of tea at ₹29 per kg with 2 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹23 per kg with 8 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  35. 35.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?
  36. 36.A 88-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?
  37. 37.A grocer mixes 11 kg of tea at ₹20 per kg with 3 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹116 per kg with 6 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹22 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 50
  2. 79
  3. 28
  4. 50
  5. 10
  6. 110
  7. 10
  8. 25
  9. 6
  10. 94
  11. 25
  12. 16
  13. 8
  14. 40
  15. 5
  16. 6
  17. 50
  18. 15
  19. 60
  20. 67
  21. 16
  22. 10
  23. 40
  24. 12
  25. 2
  26. 55
  27. 57
  28. 50
  29. 6
  30. 93
  31. 52
  32. 79
  33. 52
  34. 6
  35. 75
  36. 24
  37. 38
  38. 4
  39. 101
  40. 2

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