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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 752 · 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 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  2. 2.A grocer mixes 10 kg of tea at ₹47 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A grocer mixes 4 kg of tea at ₹32 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A 12-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?
  8. 8.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹82 per kg with 5 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 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?
  11. 11.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  12. 12.A 20-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?
  13. 13.Rice at ₹28 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.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?
  15. 15.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 4 : 7?
  16. 16.A 28-litre mix has milk and water in the ratio 5 : 2. 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 40% mango juice. 2 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 ₹81 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.Rice at ₹77 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.A grocer mixes 2 kg of tea at ₹86 per kg with 3 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  24. 24.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  26. 26.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?
  27. 27.Rice at ₹58 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.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?
  29. 29.Rice at ₹59 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 2 kg of tea at ₹96 per kg with 8 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 21-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?
  33. 33.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.Rice at ₹62 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  35. 35.Rice at ₹44 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  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 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?
  39. 39.A grocer mixes 7 kg of tea at ₹111 per kg with 10 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹55 per kg is mixed with rice at ₹79 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?

Answer key

  1. 7
  2. 41
  3. 68
  4. 63
  5. 60
  6. 50
  7. 4
  8. 8
  9. 87
  10. 60
  11. 6
  12. 20
  13. 25
  14. 50
  15. 32
  16. 12
  17. 50
  18. 93
  19. 52
  20. 12
  21. 104
  22. 28
  23. 21
  24. 8
  25. 12
  26. 25
  27. 1
  28. 50
  29. 20
  30. 80
  31. 100
  32. 3
  33. 2
  34. 3
  35. 9
  36. 10
  37. 40
  38. 40
  39. 61
  40. 8

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