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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 675 · 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 ₹76 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  3. 3.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?
  4. 4.A grocer mixes 7 kg of tea at ₹63 per kg with 7 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A grocer mixes 4 kg of tea at ₹100 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 4 kg of tea at ₹31 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 5 kg of tea at ₹69 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  10. 10.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  11. 11.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?
  12. 12.Rice at ₹57 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.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?
  14. 14.A grocer mixes 12 kg of tea at ₹73 per kg with 12 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 4 kg of tea at ₹48 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹43 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.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?
  18. 18.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.Rice at ₹26 per kg is mixed with rice at ₹40 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?
  20. 20.A 72-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?
  21. 21.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  22. 22.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?
  23. 23.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?
  24. 24.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  25. 25.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?
  26. 26.Rice at ₹68 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.Rice at ₹56 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.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?
  30. 30.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.A 35-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?
  32. 32.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A grocer mixes 5 kg of tea at ₹67 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.Rice at ₹52 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  36. 36.A 10-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?
  37. 37.Rice at ₹41 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  39. 39.A 55-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?
  40. 40.A grocer mixes 2 kg of tea at ₹31 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 101
  2. 24
  3. 40
  4. 46
  5. 60
  6. 61
  7. 38
  8. 41
  9. 4
  10. 28
  11. 52
  12. 42
  13. 40
  14. 88
  15. 43
  16. 7
  17. 60
  18. 16
  19. 12
  20. 32
  21. 10
  22. 20
  23. 75
  24. 4
  25. 40
  26. 3
  27. 5
  28. 4
  29. 75
  30. 2
  31. 21
  32. 16
  33. 64
  34. 30
  35. 28
  36. 6
  37. 3
  38. 12
  39. 15
  40. 37

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