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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 100 · 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 54-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?
  2. 2.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  3. 3.A jug has 50 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?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  5. 5.A 20-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?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.A grocer mixes 4 kg of tea at ₹32 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  9. 9.A grocer mixes 11 kg of tea at ₹46 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  11. 11.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.Rice at ₹52 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A grocer mixes 8 kg of tea at ₹76 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A grocer mixes 2 kg of tea at ₹112 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.A grocer mixes 6 kg of tea at ₹111 per kg with 6 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  21. 21.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A grocer mixes 2 kg of tea at ₹94 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  25. 25.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?
  26. 26.A grocer mixes 3 kg of tea at ₹27 per kg with 7 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹27 per kg is mixed with rice at ₹55 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?
  28. 28.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?
  29. 29.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  30. 30.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹24 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A jug has 10 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?
  33. 33.Rice at ₹38 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.Rice at ₹55 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 3 kg of tea at ₹89 per kg with 9 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹72 per kg with 3 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 18
  2. 30
  3. 25
  4. 21
  5. 12
  6. 5
  7. 47
  8. 24
  9. 37
  10. 14
  11. 16
  12. 48
  13. 32
  14. 1
  15. 70
  16. 10
  17. 46
  18. 30
  19. 77
  20. 3
  21. 25
  22. 100
  23. 70
  24. 6
  25. 52
  26. 34
  27. 16
  28. 50
  29. 14
  30. 60
  31. 10
  32. 40
  33. 2
  34. 6
  35. 60
  36. 44
  37. 40
  38. 24
  39. 60
  40. 8

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