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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 434 · 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 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  2. 2.A grocer mixes 3 kg of tea at ₹27 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹55 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.Rice at ₹72 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹117 per kg with 10 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 104-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?
  10. 10.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 2 : 3?
  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 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 : 7?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.Rice at ₹43 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  18. 18.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  19. 19.A jug has 10 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?
  20. 20.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  21. 21.A grocer mixes 3 kg of tea at ₹112 per kg with 3 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  23. 23.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A jug has 40 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?
  25. 25.Rice at ₹65 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  26. 26.Rice at ₹43 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 5 kg of the dearer rice?
  27. 27.A grocer mixes 10 kg of tea at ₹66 per kg with 5 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 66-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?
  29. 29.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?
  30. 30.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?
  31. 31.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  32. 32.Rice at ₹27 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  34. 34.A 72-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?
  35. 35.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  37. 37.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?
  38. 38.Rice at ₹30 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.Rice at ₹80 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.Rice at ₹32 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 9
  2. 79
  3. 43
  4. 4
  5. 4
  6. 100
  7. 80
  8. 64
  9. 32
  10. 3
  11. 50
  12. 8
  13. 9
  14. 12
  15. 12
  16. 24
  17. 30
  18. 16
  19. 60
  20. 16
  21. 98
  22. 16
  23. 32
  24. 36
  25. 8
  26. 1
  27. 79
  28. 24
  29. 60
  30. 60
  31. 24
  32. 24
  33. 9
  34. 16
  35. 25
  36. 8
  37. 25
  38. 12
  39. 2
  40. 3

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