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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 296 · 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 ₹87 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.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?
  3. 3.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  4. 4.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹38 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  6. 6.A 120-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?
  7. 7.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  8. 8.A grocer mixes 3 kg of tea at ₹107 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  10. 10.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  11. 11.A grocer mixes 12 kg of tea at ₹59 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹52 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.Rice at ₹25 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.Rice at ₹72 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  16. 16.A jug has 50 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?
  17. 17.Rice at ₹20 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.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?
  19. 19.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A 21-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?
  21. 21.Rice at ₹76 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 3 kg of tea at ₹78 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A grocer mixes 12 kg of tea at ₹101 per kg with 12 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹59 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 16 kg of the dearer rice?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  30. 30.A grocer mixes 2 kg of tea at ₹95 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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 : 6?
  32. 32.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?
  33. 33.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?
  34. 34.Rice at ₹25 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.Rice at ₹45 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  36. 36.Rice at ₹48 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.A jug has 10 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?
  38. 38.A jug has 10 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?
  39. 39.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A grocer mixes 7 kg of tea at ₹77 per kg with 8 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 36
  2. 40
  3. 4
  4. 50
  5. 9
  6. 40
  7. 10
  8. 105
  9. 5
  10. 28
  11. 57
  12. 52
  13. 6
  14. 36
  15. 21
  16. 50
  17. 12
  18. 52
  19. 75
  20. 3
  21. 3
  22. 25
  23. 92
  24. 40
  25. 2
  26. 62
  27. 4
  28. 2
  29. 15
  30. 39
  31. 8
  32. 55
  33. 50
  34. 5
  35. 16
  36. 5
  37. 50
  38. 60
  39. 8
  40. 69

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