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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 680 · 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 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?
  2. 2.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 1 : 2?
  3. 3.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?
  4. 4.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  5. 5.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  6. 6.A grocer mixes 7 kg of tea at ₹50 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  8. 8.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  9. 9.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?
  10. 10.Rice at ₹20 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  12. 12.A grocer mixes 2 kg of tea at ₹64 per kg with 7 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹168 per kg to make a mix worth ₹128 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  14. 14.A 32-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?
  15. 15.Rice at ₹71 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹83 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹26 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.Rice at ₹34 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 14 kg of the dearer rice?
  19. 19.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  21. 21.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  23. 23.A grocer mixes 8 kg of tea at ₹38 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 2 kg of tea at ₹120 per kg with 11 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 4 kg of tea at ₹52 per kg with 4 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 7 kg of tea at ₹43 per kg with 12 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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 : 4?
  28. 28.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  29. 29.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  30. 30.A jug has 50 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?
  31. 31.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.Rice at ₹69 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  34. 34.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  35. 35.A grocer mixes 2 kg of tea at ₹26 per kg with 7 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹60 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.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?
  38. 38.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  40. 40.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?

Answer key

  1. 50
  2. 8
  3. 50
  4. 30
  5. 6
  6. 44
  7. 12
  8. 8
  9. 50
  10. 5
  11. 4
  12. 71
  13. 40
  14. 16
  15. 8
  16. 68
  17. 24
  18. 21
  19. 3
  20. 12
  21. 18
  22. 12
  23. 52
  24. 76
  25. 86
  26. 55
  27. 2
  28. 15
  29. 16
  30. 25
  31. 5
  32. 4
  33. 12
  34. 18
  35. 68
  36. 2
  37. 60
  38. 50
  39. 4
  40. 40

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