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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 220 · 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 2 kg of tea at ₹71 per kg with 5 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A grocer mixes 3 kg of tea at ₹95 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  6. 6.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?
  7. 7.A grocer mixes 12 kg of tea at ₹21 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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 1 : 4?
  9. 9.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  10. 10.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.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?
  12. 12.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?
  13. 13.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?
  14. 14.A 35-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?
  15. 15.Rice at ₹34 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 6 kg of the dearer rice?
  16. 16.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 4 kg of tea at ₹108 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 40 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?
  20. 20.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  21. 21.A 32-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?
  22. 22.Rice at ₹24 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 6 kg of the dearer rice?
  23. 23.A grocer mixes 2 kg of tea at ₹59 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  25. 25.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  26. 26.Rice at ₹73 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.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 : 11?
  28. 28.A grocer mixes 11 kg of tea at ₹111 per kg with 6 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹68 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A grocer mixes 4 kg of tea at ₹24 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.Rice at ₹40 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.A grocer mixes 3 kg of tea at ₹21 per kg with 10 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹24 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.Rice at ₹79 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  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.Rice at ₹53 per kg is mixed with rice at ₹102 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?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  39. 39.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 : 11?
  40. 40.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?

Answer key

  1. 81
  2. 75
  3. 83
  4. 25
  5. 2
  6. 40
  7. 29
  8. 21
  9. 36
  10. 50
  11. 40
  12. 60
  13. 70
  14. 15
  15. 2
  16. 6
  17. 40
  18. 66
  19. 28
  20. 9
  21. 16
  22. 12
  23. 34
  24. 4
  25. 4
  26. 40
  27. 36
  28. 99
  29. 8
  30. 34
  31. 40
  32. 8
  33. 31
  34. 2
  35. 4
  36. 55
  37. 24
  38. 25
  39. 24
  40. 40

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