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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 790 · 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 42-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?
  2. 2.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?
  3. 3.Rice at ₹27 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  5. 5.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?
  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 jug has 20 litres of a drink that is 20% 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 ₹34 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 12-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?
  10. 10.Rice at ₹38 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A jug has 20 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?
  12. 12.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  13. 13.A grocer mixes 8 kg of tea at ₹104 per kg with 7 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 24-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?
  15. 15.Rice at ₹75 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.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 6 kg of the dearer rice?
  17. 17.A grocer mixes 3 kg of tea at ₹106 per kg with 7 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.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?
  20. 20.A grocer mixes 10 kg of tea at ₹106 per kg with 5 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  22. 22.Rice at ₹29 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹59 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 9 kg of tea at ₹69 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 10 kg of tea at ₹34 per kg with 5 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹49 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.A grocer mixes 9 kg of tea at ₹79 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 40 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?
  30. 30.A grocer mixes 2 kg of tea at ₹36 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹59 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  33. 33.A 72-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?
  34. 34.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  35. 35.A grocer mixes 2 kg of tea at ₹107 per kg with 6 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 50-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?
  37. 37.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.A grocer mixes 7 kg of tea at ₹104 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹39 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.Rice at ₹40 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?

Answer key

  1. 21
  2. 70
  3. 8
  4. 5
  5. 75
  6. 40
  7. 60
  8. 35
  9. 8
  10. 12
  11. 40
  12. 40
  13. 83
  14. 8
  15. 15
  16. 3
  17. 85
  18. 50
  19. 60
  20. 95
  21. 21
  22. 5
  23. 25
  24. 5
  25. 57
  26. 40
  27. 8
  28. 64
  29. 20
  30. 64
  31. 3
  32. 10
  33. 16
  34. 10
  35. 83
  36. 10
  37. 8
  38. 89
  39. 16
  40. 7

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