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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 696 · 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.Rice at ₹71 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹58 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.Rice at ₹75 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.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?
  6. 6.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  7. 7.A 10-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?
  8. 8.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?
  9. 9.Rice at ₹69 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  10. 10.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?
  11. 11.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 : 6?
  12. 12.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?
  13. 13.A grocer mixes 6 kg of tea at ₹104 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹52 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹117 per kg with 7 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹32 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A grocer mixes 4 kg of tea at ₹84 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹27 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  20. 20.A 14-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?
  21. 21.A jug has 40 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?
  22. 22.A 18-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?
  23. 23.Rice at ₹39 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹29 per kg with 5 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹59 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.Rice at ₹41 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.A grocer mixes 6 kg of tea at ₹20 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 39-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?
  30. 30.Rice at ₹69 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.Rice at ₹59 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  32. 32.A 25-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?
  33. 33.A grocer mixes 2 kg of tea at ₹39 per kg with 5 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹42 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 5 kg of tea at ₹22 per kg with 10 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹68 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  38. 38.A grocer mixes 10 kg of tea at ₹69 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹79 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A grocer mixes 3 kg of tea at ₹99 per kg with 9 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 14
  2. 25
  3. 4
  4. 4
  5. 25
  6. 16
  7. 6
  8. 80
  9. 24
  10. 36
  11. 3
  12. 70
  13. 89
  14. 12
  15. 103
  16. 9
  17. 79
  18. 24
  19. 9
  20. 2
  21. 28
  22. 12
  23. 20
  24. 55
  25. 79
  26. 21
  27. 3
  28. 30
  29. 12
  30. 8
  31. 16
  32. 15
  33. 29
  34. 12
  35. 50
  36. 60
  37. 12
  38. 65
  39. 8
  40. 63

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