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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 958 · 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 ₹44 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  2. 2.Rice at ₹58 per kg is mixed with rice at ₹146 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  3. 3.Rice at ₹41 per kg is mixed with rice at ₹48 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?
  4. 4.A 42-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?
  5. 5.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  6. 6.A grocer mixes 8 kg of tea at ₹50 per kg with 8 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  9. 9.A 40-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?
  10. 10.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?
  11. 11.Rice at ₹62 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.Rice at ₹53 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.Rice at ₹34 per kg is mixed with rice at ₹97 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?
  16. 16.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.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?
  18. 18.A grocer mixes 2 kg of tea at ₹24 per kg with 5 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹55 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 18 kg of the dearer rice?
  20. 20.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 : 8?
  21. 21.A grocer mixes 12 kg of tea at ₹39 per kg with 3 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  24. 24.A grocer mixes 10 kg of tea at ₹47 per kg with 5 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  26. 26.A grocer mixes 12 kg of tea at ₹29 per kg with 8 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 6 kg of tea at ₹119 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 40 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?
  29. 29.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.Rice at ₹44 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  31. 31.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.Rice at ₹46 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.Rice at ₹38 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  34. 34.A grocer mixes 9 kg of tea at ₹49 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 10-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?
  36. 36.A grocer mixes 2 kg of tea at ₹37 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹47 per kg with 4 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  40. 40.A grocer mixes 7 kg of tea at ₹39 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 42
  3. 20
  4. 7
  5. 8
  6. 70
  7. 60
  8. 21
  9. 24
  10. 40
  11. 32
  12. 4
  13. 3
  14. 4
  15. 28
  16. 6
  17. 50
  18. 29
  19. 3
  20. 10
  21. 42
  22. 55
  23. 6
  24. 41
  25. 36
  26. 59
  27. 96
  28. 60
  29. 10
  30. 28
  31. 4
  32. 20
  33. 7
  34. 64
  35. 8
  36. 85
  37. 52
  38. 75
  39. 5
  40. 47

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