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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 968 · 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 ₹40 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹57 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.Rice at ₹40 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 3 kg of the dearer rice?
  6. 6.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  7. 7.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?
  8. 8.Rice at ₹28 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.Rice at ₹56 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  11. 11.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.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?
  13. 13.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  14. 14.A 60-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?
  15. 15.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?
  16. 16.Rice at ₹54 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.Rice at ₹52 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹56 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  20. 20.A jug has 10 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?
  21. 21.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 1 : 2?
  22. 22.A grocer mixes 5 kg of tea at ₹86 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹55 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  25. 25.A 14-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?
  26. 26.A grocer mixes 8 kg of tea at ₹56 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹33 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  28. 28.A grocer mixes 8 kg of tea at ₹95 per kg with 8 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  31. 31.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  32. 32.A grocer mixes 12 kg of tea at ₹119 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  35. 35.A grocer mixes 4 kg of tea at ₹77 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹50 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  40. 40.A grocer mixes 8 kg of tea at ₹81 per kg with 7 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 36
  2. 36
  3. 5
  4. 2
  5. 15
  6. 40
  7. 70
  8. 16
  9. 1
  10. 1
  11. 9
  12. 52
  13. 6
  14. 20
  15. 52
  16. 5
  17. 3
  18. 50
  19. 15
  20. 55
  21. 8
  22. 62
  23. 8
  24. 10
  25. 2
  26. 74
  27. 21
  28. 92
  29. 50
  30. 18
  31. 8
  32. 75
  33. 5
  34. 9
  35. 78
  36. 70
  37. 40
  38. 9
  39. 8
  40. 67

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