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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 598 · 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 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  2. 2.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?
  3. 3.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  4. 4.A grocer mixes 9 kg of tea at ₹22 per kg with 9 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 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?
  6. 6.Rice at ₹41 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.A 65-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?
  8. 8.Rice at ₹28 per kg is mixed with rice at ₹56 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?
  9. 9.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?
  10. 10.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  11. 11.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?
  12. 12.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  13. 13.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  14. 14.A grocer mixes 5 kg of tea at ₹23 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 8 kg of tea at ₹28 per kg with 10 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  17. 17.Rice at ₹52 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  18. 18.A grocer mixes 3 kg of tea at ₹74 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  21. 21.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?
  22. 22.Rice at ₹50 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.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?
  25. 25.A grocer mixes 3 kg of tea at ₹107 per kg with 8 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹45 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  29. 29.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  30. 30.A grocer mixes 3 kg of tea at ₹32 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A 110-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?
  33. 33.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?
  34. 34.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  36. 36.A grocer mixes 2 kg of tea at ₹113 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹23 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.Rice at ₹59 per kg is mixed with rice at ₹91 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?
  39. 39.A jug has 25 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?
  40. 40.A grocer mixes 3 kg of tea at ₹35 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 15
  2. 75
  3. 15
  4. 46
  5. 50
  6. 40
  7. 5
  8. 4
  9. 60
  10. 18
  11. 50
  12. 8
  13. 3
  14. 32
  15. 43
  16. 14
  17. 20
  18. 52
  19. 2
  20. 9
  21. 40
  22. 3
  23. 21
  24. 50
  25. 91
  26. 50
  27. 6
  28. 24
  29. 4
  30. 80
  31. 68
  32. 10
  33. 60
  34. 10
  35. 35
  36. 77
  37. 5
  38. 1
  39. 50
  40. 75

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