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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 282 · 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 ₹25 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.Rice at ₹49 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  3. 3.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  4. 4.Rice at ₹69 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  5. 5.Rice at ₹80 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A 10-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?
  7. 7.Rice at ₹63 per kg is mixed with rice at ₹91 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?
  8. 8.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  9. 9.Rice at ₹22 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  10. 10.Rice at ₹44 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.A grocer mixes 5 kg of tea at ₹98 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹23 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.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?
  14. 14.A jug has 20 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?
  15. 15.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 1 : 4?
  16. 16.Rice at ₹71 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  17. 17.Rice at ₹22 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A grocer mixes 12 kg of tea at ₹62 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A 130-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?
  21. 21.Rice at ₹73 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.Rice at ₹76 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.Rice at ₹64 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹35 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹57 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹32 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 16 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. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.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 2 : 5?
  31. 31.Rice at ₹22 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹55 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹42 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.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?
  35. 35.A grocer mixes 9 kg of tea at ₹45 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 30-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?
  38. 38.Rice at ₹32 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 21 kg of the dearer rice?
  39. 39.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?
  40. 40.Rice at ₹31 per kg is mixed with rice at ₹41 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?

Answer key

  1. 25
  2. 30
  3. 36
  4. 14
  5. 1
  6. 6
  7. 4
  8. 14
  9. 12
  10. 3
  11. 52
  12. 5
  13. 52
  14. 28
  15. 9
  16. 3
  17. 32
  18. 48
  19. 8
  20. 10
  21. 30
  22. 8
  23. 15
  24. 4
  25. 48
  26. 56
  27. 50
  28. 50
  29. 25
  30. 8
  31. 5
  32. 49
  33. 15
  34. 70
  35. 53
  36. 55
  37. 18
  38. 14
  39. 25
  40. 3

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