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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 147 · 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 12 kg of tea at ₹29 per kg with 5 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 10 kg of tea at ₹98 per kg with 10 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 72-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?
  4. 4.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  5. 5.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A grocer mixes 2 kg of tea at ₹62 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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 : 4?
  8. 8.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?
  9. 9.A grocer mixes 12 kg of tea at ₹103 per kg with 6 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹43 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  11. 11.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?
  12. 12.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 2 : 11?
  13. 13.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?
  14. 14.A grocer mixes 4 kg of tea at ₹117 per kg with 8 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹48 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.A grocer mixes 3 kg of tea at ₹105 per kg with 6 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 4 kg of tea at ₹59 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹33 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  19. 19.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  20. 20.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?
  21. 21.A 96-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?
  22. 22.A 99-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?
  23. 23.Rice at ₹24 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  25. 25.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?
  26. 26.Rice at ₹20 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹67 per kg with 9 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹54 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  29. 29.Rice at ₹49 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  31. 31.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  32. 32.Rice at ₹37 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 6 kg of the dearer rice?
  33. 33.Rice at ₹52 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.A grocer mixes 11 kg of tea at ₹36 per kg with 11 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.Rice at ₹47 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.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?
  38. 38.A 36-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?
  39. 39.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  40. 40.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?

Answer key

  1. 39
  2. 93
  3. 9
  4. 24
  5. 80
  6. 57
  7. 14
  8. 25
  9. 96
  10. 5
  11. 68
  12. 20
  13. 52
  14. 107
  15. 4
  16. 93
  17. 54
  18. 6
  19. 12
  20. 52
  21. 8
  22. 9
  23. 40
  24. 2
  25. 4
  26. 7
  27. 100
  28. 21
  29. 1
  30. 16
  31. 12
  32. 2
  33. 2
  34. 53
  35. 70
  36. 12
  37. 40
  38. 36
  39. 30
  40. 12

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