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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 270 · 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 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.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?
  5. 5.A 35-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?
  6. 6.Rice at ₹57 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  8. 8.Rice at ₹63 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.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?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  13. 13.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 : 4?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 12 kg of tea at ₹78 per kg with 11 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹71 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  18. 18.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  19. 19.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  20. 20.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 65-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?
  23. 23.Rice at ₹41 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.A jug has 40 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?
  25. 25.A grocer mixes 8 kg of tea at ₹69 per kg with 5 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹73 per kg with 5 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.Rice at ₹49 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.A 45-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?
  30. 30.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?
  31. 31.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?
  32. 32.Rice at ₹44 per kg is mixed with rice at ₹72 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.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?
  34. 34.A grocer mixes 12 kg of tea at ₹46 per kg with 12 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹31 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.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 : 8?
  37. 37.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  38. 38.A jug has 40 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?
  39. 39.Rice at ₹20 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  40. 40.Rice at ₹20 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?

Answer key

  1. 15
  2. 5
  3. 20
  4. 40
  5. 5
  6. 6
  7. 20
  8. 24
  9. 40
  10. 50
  11. 40
  12. 7
  13. 4
  14. 28
  15. 50
  16. 89
  17. 24
  18. 12
  19. 6
  20. 8
  21. 50
  22. 20
  23. 2
  24. 28
  25. 59
  26. 88
  27. 4
  28. 9
  29. 27
  30. 70
  31. 50
  32. 15
  33. 25
  34. 49
  35. 24
  36. 36
  37. 27
  38. 60
  39. 21
  40. 4

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