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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 842 · 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 ₹80 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A 70-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?
  3. 3.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 : 7?
  4. 4.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?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.Rice at ₹29 per kg is mixed with rice at ₹78 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?
  10. 10.Rice at ₹43 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.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 : 1?
  12. 12.A jug has 40 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?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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?
  15. 15.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  16. 16.A grocer mixes 2 kg of tea at ₹55 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹152 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.Rice at ₹68 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 4 kg of the dearer rice?
  19. 19.Rice at ₹46 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹62 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  22. 22.A 36-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?
  23. 23.A grocer mixes 7 kg of tea at ₹24 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 11 kg of tea at ₹107 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 5 kg of tea at ₹81 per kg with 6 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  27. 27.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?
  28. 28.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?
  29. 29.Rice at ₹46 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A 28-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?
  31. 31.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  32. 32.A grocer mixes 2 kg of tea at ₹85 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.Rice at ₹55 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.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 2 : 5?
  36. 36.A grocer mixes 10 kg of tea at ₹39 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  38. 38.A grocer mixes 4 kg of tea at ₹110 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹23 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?

Answer key

  1. 6
  2. 10
  3. 10
  4. 50
  5. 60
  6. 55
  7. 12
  8. 35
  9. 14
  10. 25
  11. 6
  12. 60
  13. 76
  14. 50
  15. 9
  16. 45
  17. 6
  18. 6
  19. 18
  20. 54
  21. 9
  22. 12
  23. 46
  24. 99
  25. 93
  26. 20
  27. 70
  28. 25
  29. 3
  30. 4
  31. 12
  32. 79
  33. 8
  34. 5
  35. 24
  36. 47
  37. 5
  38. 87
  39. 24
  40. 4

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