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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 619 · 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 ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.Rice at ₹30 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.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?
  4. 4.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  5. 5.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?
  6. 6.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?
  7. 7.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.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?
  9. 9.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  10. 10.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?
  11. 11.A grocer mixes 3 kg of tea at ₹37 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A grocer mixes 6 kg of tea at ₹27 per kg with 12 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹77 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  15. 15.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  16. 16.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 2 : 11?
  17. 17.A grocer mixes 6 kg of tea at ₹21 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹48 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.Rice at ₹31 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹48 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹73 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.Rice at ₹50 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.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?
  26. 26.A grocer mixes 8 kg of tea at ₹31 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹48 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.Rice at ₹54 per kg is mixed with rice at ₹62 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?
  29. 29.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  30. 30.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?
  31. 31.A grocer mixes 4 kg of tea at ₹101 per kg with 7 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹39 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  33. 33.A grocer mixes 8 kg of tea at ₹58 per kg with 12 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 12 kg of tea at ₹51 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹63 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 8 kg of the dearer rice?
  37. 37.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  38. 38.A grocer mixes 4 kg of tea at ₹30 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  40. 40.A grocer mixes 8 kg of tea at ₹40 per kg with 7 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 10
  2. 1
  3. 52
  4. 14
  5. 50
  6. 52
  7. 64
  8. 8
  9. 21
  10. 40
  11. 45
  12. 6
  13. 55
  14. 30
  15. 21
  16. 8
  17. 30
  18. 20
  19. 15
  20. 67
  21. 55
  22. 4
  23. 5
  24. 75
  25. 76
  26. 29
  27. 1
  28. 6
  29. 21
  30. 40
  31. 59
  32. 18
  33. 40
  34. 55
  35. 57
  36. 4
  37. 15
  38. 29
  39. 16
  40. 54

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