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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 260 · 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.A grocer mixes 3 kg of tea at ₹84 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.Rice at ₹29 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.Rice at ₹36 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  5. 5.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.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?
  7. 7.Rice at ₹45 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  8. 8.Rice at ₹35 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹22 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.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?
  12. 12.A grocer mixes 3 kg of tea at ₹78 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 6 kg of tea at ₹30 per kg with 6 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 9 kg of tea at ₹114 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹68 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A jug has 20 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?
  19. 19.Rice at ₹48 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹40 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 50-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?
  22. 22.A jug has 10 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?
  23. 23.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?
  24. 24.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  25. 25.A grocer mixes 2 kg of tea at ₹54 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 11 kg of tea at ₹52 per kg with 11 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹74 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.A grocer mixes 3 kg of tea at ₹43 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹20 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.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?
  31. 31.Rice at ₹79 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.Rice at ₹28 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.Rice at ₹39 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.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?
  37. 37.A jug has 40 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?
  38. 38.A 32-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?
  39. 39.A jug has 25 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?
  40. 40.A grocer mixes 12 kg of tea at ₹44 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 88
  2. 10
  3. 4
  4. 40
  5. 36
  6. 50
  7. 8
  8. 28
  9. 63
  10. 24
  11. 55
  12. 56
  13. 42
  14. 101
  15. 3
  16. 40
  17. 4
  18. 40
  19. 10
  20. 32
  21. 40
  22. 75
  23. 52
  24. 18
  25. 42
  26. 82
  27. 3
  28. 63
  29. 8
  30. 80
  31. 40
  32. 8
  33. 68
  34. 4
  35. 4
  36. 70
  37. 20
  38. 8
  39. 50
  40. 59

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